SOLUTION: What is {{{(2x^3-32x)/(x^2+8x+16)}}} reduced?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is {{{(2x^3-32x)/(x^2+8x+16)}}} reduced?      Log On


   

Question 550: What is %282x%5E3-32x%29%2F%28x%5E2%2B8x%2B16%29 reduced?
Answer by janinecb(25) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E3+-+32x%29%2F%28x%5E2+%2B+8x+%2B+16%29
Factor both the numerator and the denominator.

%282x%28x%5E2+-+16%29%29%2F%28%28x+%2B+4%29%28x+%2B+4%29%29
Then factor the numerator one more time.

%282x%28x+%2B+4%29%28x+-+4%29%29%2F%28%28x+%2B+4%29%28x+%2B+4%29%29
Then cancel one (x + 4) on the bottom with the (x + 4) on the top.

%282x%28x+-4%29%29%2F%28x+%2B+4%29
This is your final answer.