SOLUTION: How would you write this rational expression in lowest terms? g^2-5g-14/g^2+g-2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How would you write this rational expression in lowest terms? g^2-5g-14/g^2+g-2      Log On


   

Question 125819: How would you write this rational expression in lowest terms?
g^2-5g-14/g^2+g-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28g%5E2-5g-14%29%2F%28g%5E2%2Bg-2%29 Start with the given expression

%28%28g-7%29%28g%2B2%29%29%2F%28g%5E2%2Bg-2%29 Factor g%5E2-5g-14 to get %28g-7%29%28g%2B2%29 (note: if you need help with factoring, check out this solver)

%28%28g-7%29%28g%2B2%29%29%2F%28%28g%2B2%29%28g-1%29%29 Factor g%5E2%2Bg-2 to get %28g%2B2%29%28g-1%29


%28g-7%29%28g%2B2%29%2F%28g%2B2%29%28g-1%29 Combine the fractions


%28g-7%29cross%28%28g%2B2%29%29%2Fcross%28%28g%2B2%29%29%28g-1%29 Cancel like terms


%28g-7%29%2F%28g-1%29 Simplify


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Answer:

So %28g%5E2-5g-14%29%2F%28g%5E2%2Bg-2%29 simplifies to %28g-7%29%2F%28g-1%29. In other words %28g%5E2-5g-14%29%2F%28g%5E2%2Bg-2%29=%28g-7%29%2F%28g-1%29