SOLUTION: add as indicated x^2 over x+5 plus 5x over x+5 simplify your answer

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Question 760825: add as indicated x^2 over x+5 plus 5x over x+5 simplify your answer
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Given: %28X%5E2%2F%28X%2B5%29%29+%2B+%285X%2F%28X%2B5%29%29
Since the denominators are the same, we can just add the top numbers.
%28X%5E2%2F%28X%2B5%29%29+%2B+%285X%2F%28X%2B5%29%29+=+%28X%5E2+%2B+5X%29%2F%28X%2B5%29
Note that both terms in the numerator contain an X, we can factor that out.
X%5E2+%2B+5X+=+X%2A%28X+%2B+5%29
Now rewrite the equation.
%28X%2A%28X%2B5%29%29%2F%28X%2B5%29
The X+5 will now cancel out.
%28X%2A%28cross%28X%2B5%29%29%29%2F%28cross%28X%2B5%29%29+=+X%2F1
We are left with just X.
%28X%5E2%2F%28X%2B5%29%29+%2B+%285X%2F%28X%2B5%29%29+=+X