SOLUTION: Multiply the following and simplify by adding like monomials into a single polynomial (a) (2x+1)[(x+3)(3x-1)] (b) (2x+y)^2 (y squared)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply the following and simplify by adding like monomials into a single polynomial (a) (2x+1)[(x+3)(3x-1)] (b) (2x+y)^2 (y squared)      Log On


   

Question 711227: Multiply the following and simplify by adding like monomials into a single polynomial
(a) (2x+1)[(x+3)(3x-1)]
(b) (2x+y)^2 (y squared)
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
(2x+1)[(x+3)(3x-1)]
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Multiply out the binomial within the brackets first:
%282x%2B1%29%283x%5E2%2B8x-3%29
Next, multiply through the (2x+1) term:
6x%5E3%2B3x%5E2%2B16x%5E2%2B8x-6x-3
Combine like terms and you are done:
highlight%286x%5E3%2B19x%5E2%2B2x-3%29
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(2x+y)^2 (y squared)
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I am not sure what this means... is it this?
%28%282x%2By%29%5E2%29y%5E2
If so... Square the binomial first:
%284x%5E2%2B4xy%2By%5E2%29%2Ay%5E2
Multiply though the y^2 term:
highlight%284x%5E2y%5E2%2B4xy%5E3%2By%5E4%29
There are no like terms to combine, so you are done (assuming the original expression is right!)
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Good Luck,
tutor_paul@yahoo.com