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 A pond in a garden 2020-04-09 From Jin:c) I have a large square pond set inside a square garden: both the pond and the garden have sides which are a whole number of metres, and outside the pond, the garden is grassed over. The area covered by grass is 188 square metres. Find the area of the pond. (5 marks)Answered by Penny Nom. An arithmetic sequence 2020-04-04 From ally:-10 ... last term 35 common difference is 3 (a) find the number of term in the sequence. i have lost the formula.Answered by Penny Nom. The difference between two number is 7 2020-01-07 From Jaypercey:the difference between two number is 7 find the two number if the larger 3times the smallerAnswered by Penny Nom. An arithmetic sequence 2019-02-23 From Dalal:If x+1 and -x+17 are the second and sixth term of a sequence with a common difference of 5, what's the value of x.Answered by Penny Nom. An arithmetic sequence 2019-01-31 From sara:if the 6th term of an arithmetic sequence is 8 and the 11th term is -2, what is the first term?Answered by Penny Nom. The sum and difference of two numbers 2018-08-30 From Saranya:Hi, The question is to find the numbers from sum and difference. The Sum = 14 and the difference = 2 I found in this web site some useful answers. but my kid is going second grade only. She don't know how to do a division or multiplication. So can you please explain on how to find the answer using only the Addition and Subtraction. Thanks in advance.Answered by Penny Nom. The difference between two numbers is -3 2018-06-05 From Hannah:write a pair if integers whose difference is -3 ( given that the greater number is 8 )Answered by Penny Nom. Pre tax and post tax percentages 2018-05-22 From Tom:Hi, I work in a clothes shop which can also do mail-orders. My Head Office has sent a report with which we can check the records we keep in store tally with those at HO. According to that report we have taken £2578.25 in orders, excluding VAT (20%), which would therefore be £3093.91 including VAT (2578.25+20%=3093.91). According to my records, we have taken £3179.32 including VAT, which would be £2543.45 excluding VAT (3179.32-20%=2543.45). Why is it that the difference between the VAT inclusive figures (3179.32-3093.91) is +£85.41, but the difference between the VAT exclusive figures (2543.45-2578.26) is -£34.81? Now, I can see from the report that 1 order has not been recorded by HO, and I know that our average order value is around £30, so the -£34.81 makes sense. But surely both figures should be a minus, regardless of whether they include VAT? I'm sure there is an obvious answer, but I just cannot see it! Any help would be gratefully received. Thanks, TomAnswered by Penny Nom. The sum and difference of two numbers 2018-03-13 From samima:Two numbers have a difference of 0.85 and the sum 1.What are the numbers?Answered by Penny Nom. Expand (5x-9)(5x+9) 2018-03-01 From adil:expand the following: (5x-9)(5x+9)Answered by Penny Nom. The sum and difference of two numbers 2018-01-25 From Ali:Hello, I was looking at the original question that was posted and answered by your team: http://mathcentral.uregina.ca/QQ/database/QQ.09.07/s/donna1.html I used the 7 and 4 as example and not looking for 39 per original question: A=7 B=4 7+ 4 =11 and 7-4 = 3 We end up with 11 +3 = 14 A= 14/2 give use 7 B = how do you solve for B or 4 with out knowing anything about 3 or any other numbers ? Thank you AliAnswered by Penny Nom. An arithmetic sequence 2017-11-30 From yo:x; 2x+1; 11 are three consecutive terms of an arithmetic sequence.calculate xAnswered by Penny Nom. An arithmetic sequence 2017-07-17 From abbi:hi there im a student in 11 grade ive been trying to do this task but i have no idea how to do it the question is Find the common difference and the n^th term of the arithmetic sequence if the first term is 4 and the twentieth sum of the terms is 1030Answered by Penny Nom. Successive Differences 2017-04-06 From Twaha:Please find the equation of the sequence 1 2 4 7 11 16 22Answered by Penny Nom. The sum and difference of two numbers 2017-03-20 From Olivia:The sum of two numbers is 87 and their difference is 29. What are the two numbersAnswered by Penny Nom. 1/1-cosine(2x) - 1/1+ cos(2x) 2016-12-14 From Sean:1/1-cosine(2x) - 1/1+ cos(2x)Answered by Penny Nom. A pattern rule for a sequence 2016-10-28 From Grace:Here's a Grade 7 question, we need to find the pattern rule: 1 - 1 2 - 3 3 - 6 4 - 10 ...... It may involve exponents, but we can't seem to figure it out. thank you. Grace.Answered by Penny Nom. A sequence 2016-01-05 From Mia:the next three terms in each sequence. 0.4, 0.54, 0.68, 0.82,Answered by Penny Nom. 2^48 - 1 2015-06-13 From Soham:The number 2^48-1 is divisible by two numbers between 60 and 70. The sum of the two numbers is?Answered by Penny Nom. A limit 2015-02-19 From genc:Lim (27x^3-1) / (3x-1) X-> 1/3Answered by Harley Weston. A difference quotient 2015-01-12 From Sasha:Simplify the difference quotient f(x) − f(a)/ x-a if x ≠ a. f(x) = x^3 − 12Answered by Penny Nom. (x-3)^2-(x+3)^2 2014-11-13 From Bernice:(x-3)^2-(x+3)^2Answered by Penny Nom. An arithmetic sequence 2014-03-20 From Xabiso:The 10th term of an arithmetic sequence is 28 and the 7th term is 19. Calculate the common difference and the first term of the sequence.Answered by Penny Nom. Can 100r^2-81z^2 be factored? 2013-12-08 From Rosa:Can 100r^2-81z^2 be factored?Answered by Penny Nom. An Arithmetic Progression 2013-10-08 From collins:In an A.P. the difference between the 8th and 4th term is 20 and the 8th is one and half times the 4th term... what is the common difference and the first termAnswered by Penny Nom. Constructing a triangle 2013-08-22 From Nazrul:The base, the difference of the angles adjoining the base and the sum of the other two sides are given. How can I draw the triangle? Please help me.Answered by Chris Fisher. a cube-b cube-a+b= ? 2013-06-16 From saryu:a cube-b cube-a+b= ? find the answerAnswered by Penny Nom. Two numbers whose difference is 16 2013-06-08 From Johan:Two numbers whose difference is 16 and whose sum is 120Answered by Penny Nom. (4- 4cos^4 x)/(sin^2 x) 2013-05-18 From Agnes:How I can solve this question : Simplify (4- 4cos^4 x)/(sin^2 x) and write in terms of sin xAnswered by Penny Nom. An algebraic exercise 2013-03-18 From autumn:given: f(x)=x/(x^2+2) determine: [f(x-h)-f(x)]/hAnswered by Penny Nom. Difference of squares 2012-11-19 From Qelibar:Please factorise x^2y^2 - 4Answered by Penny Nom. The difference of the numbers on two dice 2012-08-19 From dilys:Two fair dice are thrown. Find the probability that the difference of the two numbers is divisible by 4?Answered by Chris Fisher and Lorraine Dame. Two equations involving fractions 2012-06-12 From Fatima:Hi ,teacher gave two question to my daughter as follows Solve 2/x+3=(1/xx-9)-(1/x-3)and Solve (4/x-2)-(x/x+2)=16/xx-4 Please help me Thanks & regards fatimaAnswered by Penny Nom. The difference in latitudes of two cities 2012-01-18 From Renee:Assuming that the earth is a sphere of radius 6378 kilometers, what is the difference in latitudes of two cities, one of which is 600 kilometers due north of the other?Answered by Robert Dawson. Sum and difference of squares 2011-12-31 From Anne:Se x e y são números reais distintos, então: a) (x^2 + y^2) / (x - y) = x + y b) (x^2 + y^2) / (x - y) = x - y c) (x^2 - y^2) / (x - y) = x + y d) (x^2 - y^2) / (x - y) = x - y e) Nenhuma das alternativas anteriores é verdadeira.Answered by Harley Weston. U(n+1) = 2Un + 1 2011-05-22 From Cillian:In a certain sequence, to get from one term to the other you multiply by 2 and add 1, i.e. This is a difference equation of form: U(n+1) = 2Un + 1. prove that there is a maximum of 2 perfect squares in this sequenceAnswered by Claude Tardif. Find two numbers whose difference is 153. 2011-05-10 From Scott:Find two numbers whose difference is 153.Answered by Penny Nom. (3x+4y)^2 - (2x-y)^2 2011-03-16 From Taiwo:pls could some one help me with this question? thanks as lot factorize: (3x+4y)^2 - (2x-y)^2Answered by Penny Nom. Difference quotient 2010-07-26 From Brandon:i'm trying to figure out how to use the difference quotient with x^3, i have tried the following...(x+h)^2*(x+h)-(x+h)/h and i have only gotten as far as...(x^2+2xh+h^2)-(x+h)/h....i cannot see where i am goin astray, i know i am overlooking something simple, what am i overlooking?Answered by Penny Nom. Difference of cubes 2010-05-22 From Anad:how can we prove a^3 - b^3 is equal to (a-b)(a^2+ab+b^2)?Answered by Penny Nom. (9 - x^2)/(x - 3) 2009-12-04 From Sandy:9-x^2/x-3 I need to know how to solve this. ThanksAnswered by Penny Nom. Successive differences 2009-06-18 From Jonathan:I'm trying to find the next number sequence for this equation: 1 11 35 79 149 251, my problem is that I worked it out and ended up with a single number 17. What am I doing wrong. Thank you for any help.Answered by Robert Dawson and Penny Nom. A difference quotient 2009-06-17 From Sue:When s(x)=x^3+x, compute and simplify the difference quotient s(x+h)-s(x)/h.Answered by Harley Weston. Actual Food Cost is 3% or more above Projected Food Cost 2009-04-07 From Kam:Your store guidelines states that when Actual Food Cost is 3% or more above Projected Food Cost, immediate corrective action be taken by the Unit Manager. In January, your Actual Food Cost was \$11,000, and your Projected Food Cost was \$10,850. To find out what percentage the difference is do I divide the difference (\$150) by Actual Food Cost (\$11,000) or Projected Food Cost (\$10,8500)? What would be the answer? ThanksAnswered by Harley Weston. Percentage difference in pipe volumes 2009-02-22 From mike:what is the % difference between a 3 inch diameter pipe compared to a 4 inch diameter pipe? and how do i find the answer?Answered by Penny Nom. The difference quotient (f(x+h)-f(x))/h 2009-01-26 From helen:Find the difference quotient of f, f(x+h)-f(x)/h, h does not equal 0, for this function. Be sure to simplify. that is, find f(x)=x^2-x+4Answered by Robert Dawson. Factor x^2 - y^2 2009-01-20 From Shell:complete Factor: x^2-y^2Answered by Penny Nom. Determining the Unknown Numbers 2008-12-06 From jacob:the sum of two numbers is 45 and their difference is 15. what are the two numbers?Answered by Janice Cotcher. Factoring 2008-11-19 From Neji:How do you factor (y-z) (y+z) (y^4+y^2z^2+z^4) and get (y+z)(y^2-yz+z^2) (y-z) (y^2+yz+z^2) as the answer?Answered by Harley Weston. z(z+1)-x(x+1) / z-x 2008-09-30 From sylvia:z(z+1)-x(x+1) / z-x HOW DO I SIMPLIFY THISAnswered by Penny Nom. a(a+1) - b(b+1) 2008-09-30 From Shaun:I need to factor (a-b) out of the following: a(a+1) - b(b+1). I know it is simple but I cannot remember how.Answered by Penny Nom. 3,6,10,15,and 21 2008-09-28 From jarred:i am currently stumped on a math project that requires me to find out the recursive formula for a sequence of numbers. the numbers in the sequence are 3,6,10,15,and 21. Thank you for your time.Answered by Walter Whiteley. A cubic equation 2008-08-25 From RAM:The following Cubic Eqn should have three roots - what are they? x^3-27=0Answered by Penny Nom. Simplifying Algebraic Expressions 2008-08-22 From Jacky:x^2-y^2+4x+4yAnswered by Penny Nom. Factoring x^2 + 729 2008-08-19 From peter:hello I,am having trouble factorising a polynomial into polynomial factors with real coefficients please can you help the polynomial is x^2+729Answered by Harley Weston. [f(x)-f(1)]/(x-1) 2008-08-14 From katie:Evaluate (if possible) the function of the given value of the independent variable: f(x)=(x^3)-x: [f(x)-f(1)]/(x-1)Answered by Penny Nom. Percent difference 2008-08-12 From mike:What is the percent difference between two homes if one is worth \$525,000 and the other is \$425,000. (525,000 - 425,000 = 100,000)Answered by Penny Nom. A difference quotient 2008-07-10 From Rita:Find the difference quotient of f, that is, find [f (x + h) - f (x)]/h, where h does not = 0 for the given function. Be sure to simplify. f(x) = 1/(x + 3)Answered by Janice Cotcher. Percent difference? 2008-06-14 From Cathy:I am trying to verify a "percent of difference" as stated on a tax form. I cannot seem to come up with the equation to do so. Here are a few examples on the form: Last year \$62.91 this year \$66.05 tax difference \$3.14 percent difference -5.64% Last year \$ 2014.97 this year \$1982.93 tax difference \$-32.04 percent difference 57.56% Last year \$97.66 this year \$79.58 tax difference \$-18.08 percent difference 32.48% I have tried several different ways and per some of Q&A's already on your site I still have a problem and would appreciate some assistance. Thanks-CathyAnswered by Penny Nom. Percentage difference 2008-05-20 From Cavell:Hi, the projected cost was 71,700. The actual cost was 56,876. What is the percent difference?Answered by Penny Nom. 5x^2 - 45 2008-02-11 From Tiana:factor: 5x^2 - 45Answered by Stephen La Rocque. Sum and difference of cubes 2008-01-30 From Amanda:It has been a really long time since I was in Algebra and I can't remember how to factor cubes such as x^3 +81 or subtracting/adding fractions with variables such as [1/(x+h)+2]-[1/x+2]. Please help!!!Answered by Penny Nom. Percentage of what? 2008-01-23 From Jenny:What is the difference in percentage between 31990 and 29990?Answered by Stephen La Rocque. Explaining the factoring for the difference of cubes 2008-01-16 From Bill:A student asked me where did the "difference of cubes" and "sum of cubes" come from. I did not have an answer for her. She is very bright and understands how they work but wanted to know where they derived from. Any help you can offer would be great. ThanksAnswered by Stephen La Rocque. Expand (a^4 - b^4) 2007-11-17 From Saif:how would you expand (a^4 - b^4) ???Answered by Stephen La Rocque and Victoria West. The nth term 2007-10-18 From shannon:Ok , what i am having problems with is the nth term. I get how the numbers come together, but i am having trouble with finding the nth term.Answered by Penny Nom. The percentage difference between 1/20 to 1/15 2007-10-11 From jake:what is the percentage difference between 1/20 to 1/15....Answered by Stephen La Rocque. Sum and difference of two mystery numbers 2007-10-04 From Donna:The sum of two numbers is 39. The difference is 11. What are the numbers?Answered by Stephen La Rocque. Percentage differences 2007-08-29 From Camilla:If a store sells a certain syle of skirt, an in the first week they sell 13, in the second week 20, in the third week 17 and in the fourth week 23, calculate the percentage difference between the highest and the lowest weekly sale.Answered by Stephen La Rocque and Harley Weston. Percentage difference between a microcentury and 50 minutes 2007-08-21 From Wonder:A lecture period (50 min) is close to 1 microcentury. Find the percentage difference from the approximation?Answered by Stephen La Rocque. Percentage change 2007-08-13 From Karen:I need a formula for calculating percentages in Excel. For example, we = sold 4 units of an item one month, and 105 units the next. I need a = formula to calculate the percentage increase in sales units. Also, if = 5251 were sold one month and 651 the next, what is the formula for = calculating the percentage difference? Please help, thank you.Answered by Penny Nom. Simplifying an algebraic fraction expression 2007-07-25 From Jessica:How do I simplify b/(b2-25) + 5/(b+5) - 6/b?Answered by Stephen La Rocque. A statistical difference 2007-07-03 From a student:I am writing a paper for a grad class in which I am comparing achievement levels of boys and girls. I have data that shows the average marks for girls and boys in each grade 12 subject for the entire province. My prof want me to show there is a statistical difference. What do I have to do to show this? I don't have access to the raw data, so don't know the SD. Is there anything I can do mathematically with the data that I have? (I can determine n for each set of data, it ranges between 2400 and about 13000 for each subject area.)Answered by Chris Fisher and Harley Weston. Simplifying complex denominators 2007-06-21 From Krys:How do I simplify completely? ((4+i ) / (3+i )) - ((2-i ) / (5-i ))Answered by Stephen La Rocque. What is the 100th term? 2007-06-15 From George:I have the sequence 50,120,235,406,644 the 1st difference is 70,115,171,238 the 2nd difference is 45,56,67 the 3rd difference is 11,11 i used the a*n^3+b*n^2+c*n+d rule but the a turns out to be a decimal because 11/6 is 1.833333333 and so i cant find the formula for the 100th term term.Answered by Penny Nom. The difference between two dice 2007-06-02 From smiley:Two standards dice are rolled. Determine the probability that the difference between the two numbers on the dice is 2Answered by Penny Nom. Percent difference 2007-05-17 From Carolyn:What is the % difference between these two numbers 211373 & 185420Answered by Gabriel Potter, Penny Nom and Steve La Rocque. Using the "difference of squares" formula how do I compute 27 * 33? 2007-04-02 From Sarah:Using the "difference of squares" formula how do I compute 27 * 33?Answered by Penny Nom. The percentage difference between 64.24% and 74.24% 2007-03-03 From M:What is the percentage difference between 64.24% and 74.24%?Answered by Stephen La Rocque and Penny Nom. Factoring polynomials 2007-02-14 From Joe:I am in the eighth grade, and we are learning the equivalent of Algebra 2. I have no ides how to factor (x-2)(x^2-1)-6x-6 You help is most aprreciated. Thank you! JoeAnswered by Stephen La Rocque. Find the next 3 terms of the sequence 2007-02-07 From rose:find the next 3 terms of the sequence 2,3,9,23,48,87Answered by Penny Nom. Factoring m^4-9^n 2006-12-07 From Josh:I can not figure out how to completely factor m^4-9^n.Answered by Penny Nom. (a^(1/3) – b^(1/3)) ( a^(2/3) + a^(1/3)b^(1/3) + b^(2/3)) 2006-10-24 From Julie:(a1/3 – b1/3) ( a2/3 + a1/3b1/3 + b2/3)Answered by Haley Ess. Percentage differences 2006-10-23 From Michael:how do I calculate the percentage difference of a certain box size. for example. How much percent smaller is this box: 8.4mm x 6.3mm to this box: 9.35mm x 7mmAnswered by Stephen La Rocque. Plotting percentage change 2006-10-11 From Beckie:I have worked out a set of percentage differences which are all percentage decrease. Should i express them as a negative percentage as -20%? I also need to plot them on a graph and am not sure whether to just use the percentage difference as it is, in which case i get a positive gradient, or include a negative axis and plot them in this way, in which case i would get a negative gradient. I think the slope of the curve will be the same either way so it might not matter!Answered by Penny. Percentage Difference 2006-07-25 From Sandra:I have two numbers (1530 and 1315). How do I calculate the percentage difference. For example: I have one loader that lifts 1530 lbs. and another loader that lifts 1315 lbs. I know the difference is 215 lbs. How much greater lift capacity does the loader that lifts 1530 lbs. have than the loader that lifts 1315 lbs.? The formula that I used was: 1530 - 1315 = 215 215/1315 = .163498 or 16.3% Is this correct? Answered by Stephen La Rocque. Factor 2006-03-08 From Brad:Factor: x3 + 64m3 and 125p3 - q6Answered by Penny Nom. 3x^4 - 81 2006-01-02 From Julio:How can I factor the following?: 3x4 - 81Answered by Penny Nom. A sum of 75 and a difference of 13 2005-10-30 From Vicki:Find two numbers that have a difference of 13 AND A SUM OF 75? We need to learn about the formula or procedure.Answered by Penny Nom. 12-42, 8-26, 10-34, 9-30, 16-58 2005-08-31 From Elizabeth:here is a math question my niece gave me, grade 7 12-42, 8-26, 10-34, 9-30, 16-58 first day of school and this is what they give her no explanationAnswered by Harley Weston. Difference in latitude 2005-04-05 From Gretel:Assuming the the earth is a sphere of radius 6378 kilometers, what is the difference in latitude of two cities, one of which is 400 kilometers due north of the other? 500 kilometers?Answered by Penny Nom. The answer to a subtraction problem 2005-03-22 From Libby:What is the name of a number that is the answer to a subtraction problem?Answered by Diane Hanson and Claude Tardif. "a" cubed minus "b" cubed 2004-12-02 From Denise:"a"cubed minus "b"cubed equal (a-b) times ("a"squared plus "ab" plus "b"squared)? I know this is a formula, but why is it true?Answered by Penny. Factoring 2004-07-19 From A student:Factor completely: 3x3 - 24y3 54x6 + 16y3 16xy - 4x - 4y - 1 0.09x2 - 0.16y2Answered by Penny Nom. 3x squared - 27 / x + 3 2004-05-04 From Stef:3x squared - 27 / x + 3Answered by Penny Nom. Some factoring problems 2004-04-15 From KJ: Factor these: x3+125 -----> (x+5)3 8x3-27 -----> (?) x2+36 -----> (x+6)2 x4-5x2+4 --> (?)Answered by Penny Nom. Percent difference 2004-04-10 From A parent:For a school science project, my son Alex is taking measurements of plant growth at regular intervals. As part of the data, he must provide the maximum percent difference observed in the categories his team has identified. So, for example he has six plants with four measurements each. (He has more, but I'll keep it simple) For the first plant he measured 2mm, 2.4mm, 2.9mm, and 3.2mm. For the 2nd, 3rd, and 4th plants, he has similar numbers. Is there a way to calculate the maximum percent difference between any two plants in his measurements during the project? Doing it for each combination would be tedious.Answered by Penny Nom. Differences in percentages 2004-04-06 From Jose: Question: You have two groups: Group A has 10 people and 2 are Chinese Group B has 12 people and 3 are Chinese In terms of percentages what is the difference in Chinese between the two groups? In other words which group has the biggest percentage of Chinese and why? Answered by Penny Nom. Percentage difference 2004-03-28 From Someone:what is the percentage difference between 157 to 251 Answered by Penny Nom. Sums and differences 2004-02-10 From David:The sum of two whole numbers is 63. The difference between the numbers is 10. Find all the possible pairs.Answered by Claude Tardif and Penny Nom. Difference of squares 2003-11-24 From Susie: Factor assuming that n is a positive # Problem: (I will give it to you in words beacuse I don't know how to do exponents on the computer.) Forty-five r to the 2n power minus five s to the 4n power. I was hoping you could walk me through it not just give me the answer. Answered by Penny Nom. The 4th difference 2003-11-17 From Jack:If i had a sequence which was the same at the 4th difference, aka difference to the 4th, like: 1 5 14 30 56 96 (sequence) 4 9 16 26 40 5 7 10 14 2 3 4 1 1 then what would be the set formulars to find out a, b, c, d, and e as i know the equation has to be an4+bn3+cn2+dn+eAnswered by Penny Nom. Is 3/5 CLOSEST to 0, 1/2 or 1? 2003-07-09 From A student:I would like to know is 3/5 CLOSEST to 0, 1/2 or 1. And can 3/10 go either way as to be closest to 0 or 1/2.Answered by Penny Nom. The sum of two numbers is 5 and their difference is 2003-06-16 From Akhil:The sum of two numbers is 5 and their difference is 11. What is the product of the two numbers?Answered by Penny Nom. Finite differences 2003-02-10 From Jenny:I need to find a formula that will work with any number. I am finding the volume of a 3d cross- shape. Here are my results so far: ```Term Number 0 1 2 3 4 5 nth term 1 7 25 63 129 231 1rst diff 6 18 38 66 102 2nd diff 12 20 28 36 3rd diff 8 8 8 ``` I can't seem to find a formula that will work with any number. Any help would be much appreciated. Answered by Penny Nom. Factoring 2002-12-11 From Larry:Question: how do u factor trinonmials EX: X 3 + Y 3 X 3 - 8Y 3 8X 2 - 72 64A 3 - 125B 6 Answered by Penny Nom. Percentage 2002-07-20 From Sally:If 20% of 100 is 80, then why is the percentage difference between 80 and 100 25%. Answered by Penny Nom. Percentage difference 2002-03-08 From Tedd:Can you give me the formulas for calculating percentage differences between two numbers? For example: if the first number is 10 and the second number is 15, then the second number is 50% larger than the first number. However, the formula to calculate that percentage won't work if the first number is greater than the second number as in the following example: The first number is 15 and the second number is 10, with the second number being 33.3% less than the first number. Or maybe I'm mistaken and the same formula will work in both situations. Answered by Penny Nom. Successive differences 2002-01-20 From Linsey:what is the rule for working out the formula for a sequence with three lines of difference? eg. ``` 1, 3, 7, 15, 29 1st line differences: 2, 4, 8, 14 2nd line differences: 2, 4, 6 3rd line differences: 2, 2 ```Answered by Penny Nom. Some algebra 2001-10-15 From James:I cannot figure these out I was wondering if you could help me? I have no one to answer my questions. (7x2 – 3yz)2 – (7x2 + 3yz)2 Use Pascal’s triangle to expand (2x – y)4 8x3 y - x3 y4 (m + 3n)2 – 144 12x4 y – 16x3 y2 – 60x2 y3 p3 q2 – 9p3 + 27q2 – 243 Answered by Peny Nom. Finite differences 2001-10-08 From Murray:My name is Murray and I am a 10th grade student. Me and my friend have recently discovered and proved a theorem of a relitively advanced nature. It is that the the nth difference of an nth degree equation = n! times the coefficient of the highest power. One of my teachers said this theorem is part finite and that she thinks she has seen it before, but she does not remember what it is called, at what level it is taught, who discovered it or when it was invented. I would greatly appretiate answers to any of these questions.Answered by Chris Fisher. Difference of Squares 2001-02-22 From Bruno-Pierre:I noticed the other day that if you substract two consecutive squared positive numbers, you end up with the same result as if you add up the two numbers. Ex. 5 and 6 (2 consecutive positive numbers) 52 = 25 62 = 36 36 - 25 = 11 (Substraction of the squared numbers) 5 + 6 = 11 (Sum of the numbers) A more algebric view: a2 - b2 = a + b where a and b are consecutive positive positive numbers. (b = a + 1) I wondered if this rule had a name, and who discovered it. Answered by Penny Nom. Difference of squares 2001-02-20 From Janna:Hi! I was just wondering how you would factor x2 - 9y2.Answered by Harley Weston. Factoring (u-v)3+v-u 2000-12-15 From A parent:I am a middle school teacher and a parent. I am snowed in and trying to help my 9th grader get ready for 9 weeks exams. I have tried to factor this problem to no avail. (u-v)^3+v-u. I have the answer but I need to know how it is done.Answered by Penny Nom. Factoring ^6 2000-01-03 From Athena: my name is Athena and I have a question on factoring: how would you figure this out: (x6-y6) and (x6+y6) Answered by Penny Nom. The greatest possible difference 1999-09-17 From Denea Hugunin:Use each of the digits 1 to 5 once to make a 2 digit number and a three digit number that the greatest possible difference.Answered by Penny Nom. A difference of squares problem. 1999-07-24 From Michael and Stephanie Bixler:If you have the equation x= n2 - m2 (ie 40= 72-32= 49-9) x must = a positive number 1) which squared numbers work as n and m 2) how does it work 3) if my teacher gave me the number for x; how could I figure out this problemAnswered by Harley Weston. Introductory Algebra 1999-05-19 From Pat:(2 + sq. root of 3) x (2 - sq. root of 3) = 1 Please show me the work.Answered by Harley Weston. Factoring 1999-03-30 From Maggie Stephens:I don't know anything about factoring would you plese help me. 3x4 - 48 54x6 + 16y3 125-8x3 12x2 - 36x + 27 9 - 81x2 a3 + b3c3 I would greatly appreciate any help you can give me thanks. Answered by Jack LeSage. Factoring 1999-03-08 From L. Sivad:Question: m2+6m+9-n2Answered by Penny Nom. Finding a rule for a sequence 1999-02-17 From Lindsey Masters:I'm doing a maths investigation and i have a sequence which goes:- 13,16,25,32,45,56,73. Our teacher told us we have to find a rule by looking at the differences of the terms until we find a constant. The first differences are:- 3,9,7,13,11,17. The differences of these are:- ...... Please could you tell me how to work it out so that I could work out the rules of similar sequences. Answered by Penny Nom. What's the next term? 1998-11-12 From Ilia:What the formula and explonation for formula for next patterns: 1) 1, 4, 10, 20, 35, 56, 84,... 2) 0, 6, 30, 90, 210, 420,... Thanks!Answered by Penny Nom. Difference of squares 1998-06-23 From Kristen Smelsky:Solve the following using a difference of squares: 4x(squared) minus 4xy plus y(squared) minus m(squared) plus 2m minus 1 Answered by Penny Nom.

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