SOLUTION: 49-x^2/2x^2-9x-35 This is a fraction. I got the answer -x^2+49/(2x+5)(x-7) I need to know if this is correct and how to work the problem out.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 49-x^2/2x^2-9x-35 This is a fraction. I got the answer -x^2+49/(2x+5)(x-7) I need to know if this is correct and how to work the problem out.      Log On


   

Question 184102: 49-x^2/2x^2-9x-35
This is a fraction.
I got the answer -x^2+49/(2x+5)(x-7)
I need to know if this is correct and how to work the problem out.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2849-x%5E2%29%2F%282x%5E2-9x-35%29 Start with the given expression


%28-%28x-7%29%28x%2B7%29%29%2F%282x%5E2-9x-35%29 Factor the numerator


%28-%28x-7%29%28x%2B7%29%29%2F%28%28x-7%29%282x%2B5%29%29 Factor the denominator


%28-highlight%28%28x-7%29%29%28x%2B7%29%29%2F%28highlight%28%28x-7%29%29%282x%2B5%29%29 Highlight the common terms.


%28-cross%28%28x-7%29%29%28x%2B7%29%29%2F%28cross%28%28x-7%29%29%282x%2B5%29%29 Cancel out the common terms.


-%28x%2B7%29%2F%282x%2B5%29 Simplify


So %2849-x%5E2%29%2F%282x%5E2-9x-35%29 simplifies to -%28x%2B7%29%2F%282x%2B5%29


In other words, %2849-x%5E2%29%2F%282x%5E2-9x-35%29=-%28x%2B7%29%2F%282x%2B5%29 where x%3C%3E-5%2F2 or x%3C%3E7