SOLUTION: {{{(a-5)/(a+2)}}}·{{{(a^2-4)/(a-5)}}}

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Question 196794: %28a-5%29%2F%28a%2B2%29·%28a%5E2-4%29%2F%28a-5%29
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!

%28a-5%29%2F%28a%2B2%29·%28a%5E2-4%29%2F%28a-5%29

Factor a%5E2-4 as %28a-2%29%28a%2B2%29

%28a-5%29%2F%28a%2B2%29·%28%28a-2%29%28a%2B2%29%29%2F%28a-5%29

Indicate the multiplications of numerators
and of denominators, so as to have only one
fraction:

%28%28a-5%29%28a-2%29%28a%2B2%29%29%2F%28%28a%2B2%29%28a-5%29%29

Cancel the %28a-5%29's

%28%28cross%28a-5%29%29%28a-2%29%28a%2B2%29%29%2F%28%28a%2B2%29%28cross%28a-5%29%29%29

Cancel the %28a%2B2%29's



And all that's left is

a-2

Edwin