SOLUTION: Will you please help me to solve this equation x^2-3x+2 over 7x-14 divided by x^2-1 over 7x+7

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Question 108146: Will you please help me to solve this equation
x^2-3x+2 over 7x-14 divided by x^2-1 over 7x+7

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2-3x%2B2+%29%2F%28+7x-14%29%29+%2F%28%28+x%5E2-1%29%2F%28+7x%2B7%29%29

First factor x%5E2-3x%2B2+...it is equal to %28x-2%29%28x-1%29, then factor all other terms
7x-14+=+7%28x-2%29
x%5E2-1=+x%5E2+%96+1%5E2=+%28x-1%29x%2B1%29
7x%2B7+=+7%28x+%2B+1%29

Now substitute it:

%28%28x-2%29%28x-1%29%2F7%28x-2%29%29+%2F%28%28x-1%29%28x%2B1%29%2F7%28x%2B1%29%29%29%29... multiply inner terms and outer terms

%28%28x-2%29%28x-1%29%29%28x-1%29%28x%2B1%29%2F%287%28x-2%29%2A7%28x%2B1%29%29....now you can cancel x-2 and x%2B1 in both nominator and denominator

%28x-1%29%28x-1%29%2F%287%2A7%28x%2B1%29%29

%28x-1%29%28x-1%29%2F49%28x%2B1%29