SOLUTION: Simplify ((9x^4-72X)/(3x^2-12))*((x^2+x-2)/(4x^3+8x^2+16x))

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify ((9x^4-72X)/(3x^2-12))*((x^2+x-2)/(4x^3+8x^2+16x))      Log On


   

Question 137308This question is from textbook Introductory Algebra
: Simplify ((9x^4-72X)/(3x^2-12))*((x^2+x-2)/(4x^3+8x^2+16x)) This question is from textbook Introductory Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
Let's start factoring:
%289x%28x%5E3-8%29%2F3%28x%5E2-4%29%29%2A%28%28x-1%29%28x%2B2%29%2F4x%28x%5E2%2B2x%2B4%29%29 Cancel 3x in the top with 3x in the bottom.
%283%28x%5E3-8%29%2F%28x%5E2-4%29%29%2A%28%28x-1%29%28x%2B2%29%2F4%28x%5E2%2B2x%2B4%29%29 Simplify a bit.
3%28x%5E3-8%29%28x-1%29%28x%2B2%29%2F%284%28x%5E2-4%29%2A%28x%5E2%2B2x%2B4%29%29 Factor the difference of cubes in the top and the difference of squares in the bottom.
Cancel the like-terms in the top and bottom.
3%28x-1%29%2F4