SOLUTION: Add ___X____ + _5_ x^2-2x-3 x+1 The sum is ? Thanks, Minka

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Question 459700: Add
___X____ + _5_
x^2-2x-3 x+1
The sum is ?
Thanks,
Minka
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
x%2F%28%28x%5E2-2x-3%29%29 + 5%2F%28%28x%2B1%29%29
:
we can factor the 1st denominator to:
x%2F%28%28x-3%29%28x%2B1%29%29 + 5%2F%28%28x%2B1%29%29
:
Therefore the common denominator would be (x-3)(x+1), right?
so we have
%28x+%2B+5%28x-3%29%29%2F%28%28x-3%29%28x%2B1%29%29
:
Multiply what's inside the brackets:
%28x+%2B+5x-15%29%2F%28%28x-3%29%28x%2B1%29%29 = %286x+-+15%29%2F%28%28x-3%29%28x%2B1%29%29
:
you can factor out 3 if you want to:
3%282x+-+5%29%2F%28%28x-3%29%28x%2B1%29%29