SOLUTION: Hi,I am having trouble with this problem,{{{x-5}}}/{{{x^2-7x+10}}}x{{{x^2+x-6}}}/{{{5}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi,I am having trouble with this problem,{{{x-5}}}/{{{x^2-7x+10}}}x{{{x^2+x-6}}}/{{{5}}}       Log On


   

Question 312844: Hi,I am having trouble with this problem,x-5/x%5E2-7x%2B10xx%5E2%2Bx-6/5

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-5%29%2F%28x%5E2-7x%2B10%29%22%B7%22%28x%5E2%2Bx-6%29%2F5

Factor the left denominator and the right numerator:

%28x-5%29%2F%28%28x-5%29%28x-2%29%29%22%B7%22%28%28x%2B3%29%28x-2%29%29%2F5

Cancel the %28x-5%29 in the bottom of the left fraction
into the x-5 in the top of the left fraction:

%28cross%28x-5%29%29%2F%28%28cross%28x-5%29%29%28x-2%29%29%22%B7%22%28%28x%2B3%29%28x-2%29%29%2F5

Cancel the %28x-2%29 in the bottom of the left fraction
into the %28x-2%29 in the top of the right fraction:

%28cross%28x-5%29%29%2F%28%28cross%28x-5%29%29%28cross%28x-2%29%29%29%22%B7%22%28%28x%2B3%29%28cross%28x-2%29%29%29%2F5

All that's left is

%28x%2B3%29%2F5

Edwin