







Simplify 
20210205 

From Leslie: To simplify improper fractions, do you convert it to a mixed number or leave as an improper fraction? My daughter had a quiz in which she was supposed to simplify her answers. So, for example, on one question the answer she got was 11/10 and on another question she came up with 17/12. The teacher marked these as incorrect because they were mixed numbers. Her teacher wrote on her paper, "**name**, I even gave this back to you and told you to go through and simplify your answers!" We (her father and I) feel that the teacher wanted her to convert her answers, not simplify them but I haven't been able to find a definitive answer online. So, does simplifying improper fractions mean converting them to mixed numbers? Thank you for your help! Answered by Penny Nom. 





Fractions with roots 
20190206 

From DEBMALYA: 5/√2+√3 –1/√2–√3 Answered by Penny Nom. 





Simplify 1/2^i 
20180128 

From Deepak: How do I simplify this complex equation:
z=1/(2^i) Answered by Penny Nom. 





Simplify 
20160201 

From Sabira: Simplify step by step
5x/8 + 7y/18 = 6 Answered by Penny Nom. 





Simplify 3(x7) 
20151021 

From geraldine: simplify: 3(x7) Answered by Penny Nom. 





Expand and Simplify (3x+5)(5x9) 
20150423 

From chloe: Expand and Simplify (3x+5)(5x9) Answered by Penny Nom. 





{(1+x)^1/31/3X(1+x)^2/3}/(1+x)^2/3 
20130617 

From STEPHEN: {(1+x)^1/31/3X(1+x)^2/3}/(1+x)^2/3 Answered by Penny Nom. 





Fractions over fractions 
20130222 

From Kenssa: Question from Kenssa, a parent:
Simplify: 3(7/x)(6/x^2) / (3/x^2)+(5/x)2 Answered by Harley Weston. 





Simplify the expression 
20120212 

From Christy: Hi guys, ok so I'm having problems with solving this equation since it's been so long I've done precal.
I have to find critical points so I have to find the derivative first. This is what I've done so far
s(t)= (t6)^4 * (t+1)^2
t'= 4(t6)^3*(1)*(t+1)^2+ 2(t+1)(1)*(t6)^4
so this is where I got stuck, which is the algebra part. How can I simplify this to get the answer to figure out the critical points. Answered by Penny Nom. 





i+i^2+i^3+i^4...+i^102 
20111213 

From megan: how do you solve i+i^2+i^3+i^4...+i^102 Answered by Robert Dawson. 





(27^r^1)^2/3 
20110424 

From YungJu: (27^r^1)^2/3 Answered by Penny Nom. 





[(90+364) ÷ 2] x 15 = 
20110330 

From ken: [(90+364) ÷ 2] x 15 = Answered by Penny Nom. 





6(M1/9)=55/12 
20110315 

From Colleen: 6(M1/9)=55/12 Answered by Penny Nom. 





Simplify the logarithmic expression 
20101202 

From Adori: Use the properties of logarithms to simplify the logarithmic expression. Log(1/250) base 5 Answered by Penny Nom. 





Simplifying fractions 
20101013 

From Alice: 14times (9divied3) + 12
______________________
18 divied (2624)
don't get this....... Answered by Penny Nom. 





4√3 + 2√1/3 
20100925 

From Michelle: How do you solve 4√3 + 2√1/3? Please show step by step. Answered by Penny Nom. 





Simplify (2x)3 
20100716 

From emily: how to Simplify (2x)3 Answered by Melanie Tyrer and Penny Nom. 





Expand and simplify 
20100615 

From Alaa: Expand and simplify
(x9)(x+2) Answered by Penny Nom. 





(x+1)(x+2)(x+3)/(x+1)(x+2) 
20100519 

From Nazrul: Simplify : (x+1)(x+2)(x+3)/(x+1)(x+2)
Which answer is correct:
(i) x+3
(ii) (x+2)^2(x+3)
Please help me. Answered by Harley Weston. 





Simplifying a quadratic expression 
20091207 

From Sabbie: Hi, I need help solving this equation for my physics homework,so I can solve the quadratic equations for x and y.
I've derived the following equations from the information provided in the question.
2a+3b = 4  1
2a^2 + 3b^2 = 62  2
a=2(3/2)b is substituted into equation 2.
so, i get
2 (2(3/2)b)^2 + 3b^2 = 62
this is where the problem begins. i cannot work through this to get to the correct quadratic equation
5b^28b36=0
I can't seem to be able to figure out where I keep going wrong. I would really appreciate it if you could give me a stepbystep breakdown of the workout.
thanks! Answered by Penny Nom. 





(9  x^2)/(x  3) 
20091204 

From Sandy: 9x^2/x3
I need to know how to solve this.
Thanks Answered by Penny Nom. 





A simplification 
20091121 

From Lou: In the following problem, [(7)/(x+2)][(x+8)/(4x^2)]+[(3x2)/44x+x^2)]
what steps do you use to convert the middle portion to become +[(x+8)/(4+x^2)]?
The answer to the problem is supposed to be (11x^218x+8)/(x+2)(x2)^2 Answered by Penny Nom. 





Simplify 
20090904 

From Sarah: How do you simplify:
(x4)^3? Answered by Robert Dawson. 





Simplify the square root of 125 x^2 
20090227 

From Ashley: √125x²
How do you simplify this equation assuming that variables can represent any real number? Answered by Robert Dawson. 





The square root of 164 
20081231 

From Melissa: How do you simplify the square root of 164? Answered by Stephen La Rocque. 





Put in lowest terms 6a^2c/8ab 
20081024 

From hana: put in lowest terms 6a^2c/8ab Answered by Stephen La Rocque. 





z(z+1)x(x+1) / zx 
20080930 

From sylvia: z(z+1)x(x+1) / zx
HOW DO I SIMPLIFY THIS Answered by Penny Nom. 





Simplify 6(a+2b)+8a16b 
20080927 

From madison: 6(a+2b)+8a16b Answered by Penny Nom. 





Simplify [[1/(x+3)]1/3]/x 
20080919 

From diana: How does [[1/(x+3)]1/3]/x simplify Answered by Harley Weston. 





Simplifying equations 
20080918 

From diana: I do not know how to simplify equations. How does 5x^27X+2 become (x1) (5x2)? Answered by Penny Nom. 





Simplify ((5/7)/(5/14)) + (3/4) 
20080906 

From Emal: How do you simplify completely: ((5/7)/(5/14)) + (3/4)? Answered by Penny Nom. 





Simplifying Algebraic Expressions 
20080822 

From Jacky: x^2y^2+4x+4y Answered by Penny Nom. 





2(x  1)^2 + 8 
20080612 

From kasondra: y=2(x1)2[thats a square] +8 that need to be put in standard form
the answer is y= 2x2 4x + 6
i got y= 2x2 4x 4
i just don't get how my teacher got that answer Answered by Penny Nom. 





3 radical 48 +11 radical 75 
20080524 

From Maria: Add 3 radical 48 +11 radical 75. Write answer in simpliest form. Answered by Penny Nom. 





1+1/1+1/x 
20080521 

From nadean: 1+1/1+1/x Answered by Penny Nom. 





(9x^24)/(3x^25x+2) * (9x^4  6x^3 +4x^2)/(27x^4+8x) 
20080429 

From Jonathon: I don't remember how to solve an equation in the form of the following:
(9x^24)/(3x^25x+2) * (9x^4  6x^3 +4x^2)/(27x^4+8x) = Answered by Stephen La Rocque. 





2 ^ 2 + (6  9) / (3) + 4 * (2) 
20080401 

From Jeth: How do I simplify: 2 ^ 2 + (6  9) / (3) + 4 * (2) Answered by Penny Nom. 





Algebraic fractions 
20080221 

From sergio: how to simplify
(x^2 +5x+6)/(x^2  4) x (x^2 5x+6)/(x^29) Answered by Stephen La Rocque. 





Sqrt(x^2 + y^2) 
20080110 

From Darcie: Can you simplify this problem?: square root of (x squared plus y squared).
Note: x squared plus y squared is under the radical. Answered by Penny Nom. 





Simplifying square roots 
20071219 

From Ciara: How would you calculate 2 to the square root of 8 plus 4 to the square root of 2 minus 5 to the square root of 2? Answered by Stephen La Rocque. 





Simplifying algebraic expressions 
20071009 

From Sakeena: (2^2*3)^x+1/2^2x*3x Answered by Stephen La Rocque. 





Simplifying rational expressions 
20071009 

From Bama: x(x2)+1 divided by x^23x+2 Answered by Stephen La Rocque. 





3 times x to the power 2 
20071001 

From Jennifer: The problem is 3 times x to the power 2.
I was just supposed to simplify, and I have no idea how. Answered by Penny Nom. 





how do you simplify 3a + 13b = 37 
20070916 

From brandon: how do you simplify 3a + 13b = 37 Answered by Penny Nom. 





2x+1+x4+4x+1 
20070906 

From laurie: 2x+1+x4+4x+1 Answered by Penny Nom. 





Radical 96 plus radical 27 divide by radical 3 
20070717 

From linda: radical 96 plus radical 27 divide by radical 3 Answered by Penny Nom. 





Simplify 
20070621 

From A student: what is the answer of
3y+5/2(4y+1)+5y/2 Answered by Penny Nom. 





Simplifying a quartic rational expression using long division 
20070614 

From Megan: x+2/12x^4+17x^3+0x^2+8x40= Answered by Stephen La Rocque and Penny Nom. 





Simplifying a square root 
20070524 

From Leigh: I am trying to help my son. Simplify sq root 81 x to the 2nd power y to the 12th power. Answered by Stephen La Rocque. 





Simplify 36x squared over 18x 
20070501 

From Emily: Simplify 36x squared over 18x Answered by Penny Nom. 





Simplifying a rational expression 
20070429 

From Tamika: X^2 + 10X + 24
______________
X + 6
SIMPLIFY EACH RATIONAL EXPRESSION (IF YOU CAN'T SIMPLIFY IT, WRITE ALREADY SIMPLIFIED) Answered by Stephen La Rocque. 





3 divided by 3 to it's fifth root 
20070406 

From Annie: How do I transform the equation 3 divided by 3 to it's fifth root to simple radical form
(getting the radical out of the denominator)? Answered by Penny Nom. 





Simplify (1/3 + 1/3x) / (1/x + x/3x) 
20070404 

From Farina: how do i simplify (1/3 + 1/3x) / (1/x + x/3x) Answered by Penny Nom. 





n1/(n+1)! + n+1/n! 
20070318 

From Cody: How do you go about simplifying something like this;
n1/(n+1)! + n+1/n!? Answered by Steve La Rocque and Claude Tardif. 





Simplify 18e^2fg/32eg^2 
20070130 

From Morgan: how do you simplify 18e^2fg/32eg^2 Answered by Penny Nom. 





Simplify (2x)^4 (1/2x^3)^2 
20070121 

From Sarah: Simplify (2x)^4 (1/2x^3)^2 Answered by Penny Nom. 





6/x2y  15/x+y = 0.5 
20061221 

From Emeka: 6/x2y  15/x+y = 0.5 Answered by Stephen La Rocque. 





(x  5)/3  3/2 = (4x + 7)/6 
20061123 

From Terri: I have never had algebra before and I am finding it difficult.Can you please help me work this problem out?
(x  5)/3  3/2 = (4x + 7)/6 Answered by Penny Nom. 





How to show my work when I simplify this 2  2[4  9] ÷ (5)? 
20061114 

From Remada: How to show my work when I simplify this 2  2[4  9] ÷ (5) Answered by Penny Nom. 





15g/50g^3 
20061112 

From Nicole: How do u simplify the variable expression? 15g/50g^3 Answered by Penny Nom. 





Simplifying exprressions 
20061106 

From Jessica: 21(a+2b)+14a9b Answered by Stephen La Rocque. 





3x+4y+7x+9+2 
20061103 

From Chavon: 3x+4y+7x+9+2 I don't get it please help Answered by Stephen La Rocque. 





36+4X3= 
20061025 

From Tom: 36+4X3= Answered by Penny Nom. 





(2/3)^2/(4/2)/1/3 
20061025 

From Jena: how do i simplify this problem? (2/3)^2/(4/2)/1/3 Answered by Stephen La Rocque. 





Simplifying radicals 
20061023 

From Christin: i would like for you to solve this problem?? 6 square root 8 Answered by Stephen La Rocque. 





Two algebra questions 
20060702 

From Majeedah:
I'm upgrading thru correspondence and haven't been in school for a long while, so I have no class or teacher to explain the basics to me.
I have a couple of questions:
The problem is this:

f(x) = x^{2}  2, Find the expression.
Q f(x)
A x^{2}  2
Why is the answer not x^{2}  2?

A relation f, is given by f(x) = x  2/x. Find the expression.
Q 2/f(3)
A 6
How do you get the answer.
Answered by Stephen La Rocque. 





simplify 7x + 4y + 2x  6y 
20060621 

From Alan: simplify 7x + 4y + 2x  6y Answered by Paul Betts. 





Simplifying with negative exponents 
20060502 

From Kristine:
I am having a hard time understanding factoring and multiplying
polynomials. I have a couple of problems I just can't get, can you
please help me?
Simplify, do not use negatives in the answer:
(5a^{1}b^{7})(2a^{4}b^{2})
and:
(5x^{2}y^{7}z)(4xy^{3}z^{4})
Answered by Stephen La Rocque. 





Simplify the variable expression: 3g^2h over 12gh 
20060209 

From Andrew: okay the question says simplify the variable expression: 3g^{2}h over 12gh
how would u do this? Answered by Penny Nom. 





How do you simplify a fraction if one of the numbers is negative? 
20051205 

From Stephanie:
Question: How do you simplify a fraction if one of the numbers is negative?
Ex. 32/40
Answered by Penny Nom. 





2x/x^29  6/x^2+x12 
20050927 

From Emily Ann: 2x/x^{2}9  6/x^{2}+x12 Answered by Penny Nom. 





6x+7=8x13 
20050927 

From A student: show me how to do 6x+7=8x13 Answered by Penny Nom. 





14p  8 = 22 + 20p 
20050927 

From Tiffany: 14p  8 = 22 + 20p Answered by Penny Nom. 





A rational arithmetic expression 
20050914 

From Vijay: How to simplify following Grade 9 math problem:
(4/9) X (21/32) X (3/14) Answered by Penny Nom. 





(2x+5y6) + (3x4y+12) 
20040904 

From GG: I am a grade 9 student and i do not understand a question. Plz help!
OK here it is........ (2x+5y6) + (3x4y+12) Answered by Penny Nom. 





Simplify 
20040627 

From Tiff: Simplify:
3x (x2 + 2)
(x + 2) (x + 3) Answered by Penny Nom. 





An equation with rational terms 
20040617 

From Louise: simplify the expression
(a^{2}+n^{2})/2n = a^{2} + (a^{2}n2)/2n Answered by Penny Nom. 





3x squared  27 / x + 3 
20040504 

From Stef: 3x squared  27 / x + 3 Answered by Penny Nom. 





square root 125 x 16 
20040423 

From Mike: how do you simplify a square root of " square root 125 x16" when x is a variable... i don't really get how to do this.... Answered by Penny Nom. 





Algebraic simplification 
20040331 

From Chris: Simplifying Exponents
Question
b^5d^2/b^3d^8 Answered by Penny Nom. 





Simplify 
20030824 

From Jessica: I have been asked to simplify the expression (5a2)(2b2)(3b)+(7a2)(2b2)+(3a)(5a)(4b) and the answer is apparently 44(a2)(b2). For the life of me I can't figure out how they derive this. Answered by Penny Nom. 





Some 5th grade problems 
20030124 

From Sabrina:
[What is the greatest common factor of 20,28, and 36?] next problem is [5k+7(k+8)= ] next problem [Curtis simplified 0.8 divided by 0.2 x 0.04 and got 10. Latoya Simplified and got 1.6. is either correct? Can you explaine how you got the answer please.] Answered by Penny Nom. 





Rational expressions 
20030122 

From A student:
// = the main fraction line 1.) a+1/a1 + a1/a+1 // a+1/a1  a1/a+1 2.) 2/a(squared)3a+2 + 2/a(squared)a2 // 2/a(squared)1 + 2/ a(squared)+4a+3 Answered by Penny Nom. 





Simplifying Variable Expressions 
20021028 

From Erika: i would like to ask you a mathematical question on Simplifying Variable Expressions. The question is 2(n4)+3. Answered by Penny Nom. 





Simplify 
20021019 

From A student: well i need to simplify this problems out and i cant do it so here is one 3x^2+6x45  = 3x^2+21x+30 Answered by Penny Nom. 





Simplify this expression 
20020226 

From Francine: 2X power 5 Y power 3 times 18 X power 5 Y power 3 divided by X power 1/3 Y power 1/4.
I came up with 36  X 1/3 Y 1/4 The book says 36 x1/3 y1/4. I don't get it. Answered by Penny Nom. 





A simplification problem 
20020110 

From A Parent: FIND (A / B) . (C / D) where A = Y squared + 3 . Y cubed B = Y squared + 4 C = 2 . Y + Y squared D = Y + 4 Y squared + 3 Y cubed Answered by Penny Nom. 





Algabra 
20011213 

From Stephanie: My name is Stephanie. My grade 7 class is doing some strange form of algebra which I've never done nor seen before. We are doing equations like these: 3y  6 + 7  4y = 6y  6. I don't really understand them and was wondering if you could help me do my homework and explain how to at the same time. It would be really great if you could!!!!! Thank you so much! Stephanie  9x  5  8 + x = ?
 5 + 6x  3y + x + 8y = ?
 x  3 + 5x + 6y + 8x  9= ?
Answered by Penny Nom. 





Simplify the expression 
20011008 

From Natalia: simplify expression 4(x7)+(5x)=10 Answered by Leeanne Boehm. 





The square root of 20 
20010918 

From Dianna: How do you simplify a square root? My daughter tells me that the square root of 20 simplified is 5root4 Answered by Penny Nom. 





Simplifying algebraic expressions 
20010512 

From A student: How do you simplify algebra expressions? Answered by Penny Nom. 





Square roots 
20001029 

From Pamela: HERE GOES(I WILL USE Q AS THE SYMBOL FOR SQUARE ROOT): 8(Q2)  5(Q2) + Q2 SECOND PROBELM IS (1 + Q2)^{2} LAST ONE 3/(2Q5) Answered by Claude Tardif. 





Simplify 21+2[3z+5(3z+8)] 
20000702 

From Dennis Dyer: My daughter has a math problem that I can't help her with. The problem is 21+2[3z+5(3z+8)] I can get the answer 101 +36z but I can't show her the correct way to write it out. Would you please show the correct way to show her work... Answered by Penny Nom. 





Simplifing 
20000615 

From Angie Herbert: My daughter is having problems with her algebra homework. She is a year 7 pupil at high school in the UK. She has been given homework on simplifying formulae and she doesn't understand how to do them. Here is an example of one of the questions : 9s+7t+5c+5s3t can you help her to understand how to do these and perhaps me too. Answered by Penny Nom and Claude Tardif. 





Multiplying fractions 
20000514 

From A student: 75/2 x 1/100 = 3/8 Please show how to came up with the answer? Answered by Penny Nom. 





Simplifying Radicals 
19990126 

From Mary: I would like to know how to simplify this question:
4 __________________ squareroot7 + squareroot3
I know the answer is (sqrt7  sqrt3) but i would really love to know how to get that answer!! Thanks. Answered by Jack LeSage and Penny Nom. 





Simplifying Radicals 
19990125 

From Randy: Find the perimeter of a rectangle in simplified radical form L=root80 W=root45. I would appreciate a detailed explination of the process for solving. Answered by Jack LeSage and Penny Nom. 





Simplifying Roots 
19980918 

From Lauren Lattimer: 1. 2root27 divided by root 12 2. 3 root 48root 75 Answered by Penny Nom. 

