SOLUTION: Simplify x^2-x-6/x^2-2x-3=

Algebra ->  Exponents -> SOLUTION: Simplify x^2-x-6/x^2-2x-3=      Log On


   

Question 190020: Simplify
x^2-x-6/x^2-2x-3=
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
We are required to simplify the fraction:
%28x%5E2-x-6%29%2F%28x%5E2-2x-3%29
First we need to factor x%5E2-x-6 and x%5E2-2x-3.
x%5E2-x-6
=%28x-3%29%28x%2B2%29
x%5E2-2x-3
=%28x-3%29%28x%2B1%29
So
%28x%5E2-x-6%29%2F%28x%5E2-2x-3%29
=%28%28x-3%29%28x%2B2%29%2F%28x-3%29%28x%2B1%29%29
Canceling the common factor %28x-3%29 of the numerator and denominator, we have
= %28x%2B2%29%2F%28x%2B1%29