Name: Melissa Who is asking: Student Level: Middle
Question: would the answer be 2b^{3}3b3 or would it be 2b^{2}b3? please help! Hi Melissa,Try it with some numbers. Using * for multiplication, For addition Your second answer is correct By the way I don't like the use of the FOIL mnemonic to do this problem. It fails as soon as you extend this problem one step to (2b+3)(b^{2}b1). Just think about what you've learned when you multiply in base 10. Suppose you are multiplying 17 x 28. 17 28  136 34  476 If you think of the steps in performing this multiplication, what you did was 8x10 = 80 20x7 = 140 20x10 = 200 (7+10)x(8+20)= 56 + 80 + 140 + 200 = 476 If one of the factors is 3 digits then 17 128  136 34 17  2176or (7+10)x(8+20+100)= 56 + 80 + 140 + 200 + 700 + 1000= 2176 2b^{3} + 3b^{2} +2b^{2} 3b +2b  3= 2b^{3} + 5b^{2} b 3 Penny
