SOLUTION: how do i simplifi this rational exp x over x^2-3x-10 plus 2 over x^2-3x-10

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Question 210087: how do i simplifi this rational exp
x over x^2-3x-10 plus
2 over x^2-3x-10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x%5E2-3x-10%29%2B2%2F%28x%5E2-3x-10%29 Start with the given expression.


Since the denominators are equal, we can combine the fractions.


%28x%2B2%29%2F%28x%5E2-3x-10%29 Combine the numerators over the common denominator.


%28x%2B2%29%2F%28%28x%2B2%29%28x-5%29%29 Factor the denominator.


highlight%28%28x%2B2%29%29%2F%28highlight%28%28x%2B2%29%29%28x-5%29%29 Highlight the common terms.


cross%28%28x%2B2%29%29%2F%28cross%28%28x%2B2%29%29%28x-5%29%29 Cancel out the common terms.


1%2F%28x-5%29 Simplify


So x%2F%28x%5E2-3x-10%29%2B2%2F%28x%5E2-3x-10%29=1%2F%28x-5%29 where x%3C%3E-2 or x%3C%3E5