SOLUTION: Multiply: ((x^2+x-12)/(x^2-x-20))X((x^2+2x-35)/(x^2+9x+14))

Algebra ->  Expressions -> SOLUTION: Multiply: ((x^2+x-12)/(x^2-x-20))X((x^2+2x-35)/(x^2+9x+14))      Log On


   

Question 151406: Multiply:
((x^2+x-12)/(x^2-x-20))X((x^2+2x-35)/(x^2+9x+14))
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28x%5E2%2Bx-12%29%2F%28x%5E2-x-20%29%29%28%28x%5E2%2B2x-35%29%2F%28x%5E2%2B9x%2B14%29%29 Start with the given expression.


Factor x%5E2%2Bx-12 to get %28x%2B4%29%2A%28x-3%29.


Factor x%5E2-x-20 to get %28x%2B4%29%2A%28x-5%29.


Factor x%5E2%2B2x-35 to get %28x%2B7%29%2A%28x-5%29.


Factor x%5E2%2B9x%2B14 to get %28x%2B7%29%2A%28x%2B2%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.



%28x-3%29%2F%28x%2B2%29 Simplify.


So %28%28x%5E2%2Bx-12%29%2F%28x%5E2-x-20%29%29%28%28x%5E2%2B2x-35%29%2F%28x%5E2%2B9x%2B14%29%29 simplifies to %28x-3%29%2F%28x%2B2%29.


In other words, where x%3C%3E-7, x%3C%3E-4, x%3C%3E-2, or x%3C%3E5