SOLUTION: x^2-x-20 x x^2+7x+10 -------- --------- x^2-3x-10 x^2+4x-5 x^2+x-12 -------- 2x^2-3x-9

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: x^2-x-20 x x^2+7x+10 -------- --------- x^2-3x-10 x^2+4x-5 x^2+x-12 -------- 2x^2-3x-9      Log On

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Question 91201: x^2-x-20 x x^2+7x+10
-------- ---------
x^2-3x-10 x^2+4x-5


x^2+x-12
--------
2x^2-3x-9
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression


Factor x%5E2-x-20 to get %28x-5%29%28x%2B4%29 (note: if you need help with factoring, check out this solver)

Factor x%5E2-3x-10 to get %28x-5%29%28x%2B2%29

Factor x%5E2%2B7x%2B10 to get %28x%2B5%29%28x%2B2%29

Factor x%5E2%2B4x-5 to get %28x%2B5%29%28x-1%29

Notice we have these common terms

They divide and cancel out

%28x%2B4%29%2F%28x-1%29 Leaving you with this


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%28x%5E2%2Bx-12%29%2F%282x%5E2-3x-9%29 Start with the given expression


%28%28x%2B4%29%28x-3%29%29%2F%282x%5E2-3x-9%29 Factor x%5E2%2Bx-12 to get %28x%2B4%29%28x-3%29 (note: if you need help with factoring, check out this solver)



%28%28x%2B4%29%28x-3%29%29%2F%28%28x-3%29%282x%2B3%29%29 Factor 2x%5E2-3x-9 to get %28x-3%29%282x%2B3%29

%28%28x%2B4%29%2Across%28%28x-3%29%29%29%2F%28cross%28%28x-3%29%29%282x%2B3%29%29 Notice we have these common terms that cancel out

%28x%2B4%29%2F%282x%2B3%29 Leaving you with this