SOLUTION: simplify 5x^2+25x/5x^2-125

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Question 201445: simplify 5x^2+25x/5x^2-125
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285x%5E2%2B25x%29%2F%285x%5E2-125%29 Start with the given expression.


%285%2Ax%2A%28x%2B5%29%29%2F%285x%5E2-125%29 Factor 5x%5E2%2B25x to get 5%2Ax%2A%28x%2B5%29.


%285%2Ax%2A%28x%2B5%29%29%2F%285%2A%28x-5%29%2A%28x%2B5%29%29 Factor 5x%5E2-125 to get 5%2A%28x-5%29%2A%28x%2B5%29.


Highlight the common terms.


Cancel out the common terms.


x%2F%28x-5%29 Simplify.


So %285x%5E2%2B25x%29%2F%285x%5E2-125%29 simplifies to x%2F%28x-5%29.


In other words, %285x%5E2%2B25x%29%2F%285x%5E2-125%29=x%2F%28x-5%29.