SOLUTION: multiply x^2+4x-12/x^2+4x-32*X^2+10x+16/x^2+10x+24

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: multiply x^2+4x-12/x^2+4x-32*X^2+10x+16/x^2+10x+24      Log On


   

Question 201443: multiply x^2+4x-12/x^2+4x-32*X^2+10x+16/x^2+10x+24
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression.


Factor x%5E2%2B4x-12 to get %28x%2B6%29%2A%28x-2%29.


Factor x%5E2%2B4x-32 to get %28x%2B8%29%2A%28x-4%29.


Factor x%5E2%2B10x%2B16 to get %28x%2B8%29%2A%28x%2B2%29.


Factor x%5E2%2B10x%2B24 to get %28x%2B6%29%2A%28x%2B4%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%28%28x-2%29%28x%2B2%29%29%2F%28%28x-4%29%28x%2B4%29%29 Simplify.


%28x%5E2-4%29%2F%28x%5E2-16%29 FOIL


So simplifies to %28x%5E2-4%29%2F%28x%5E2-16%29.


In other words,