SOLUTION: add express in simplest form x^2 over x+10 plus 9x-10 over x+10

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Question 86536: add express in simplest form
x^2
over
x+10
plus
9x-10
over
x+10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2F%28x%2B10%29%2B%289x-10%29%2F%28x%2B10%29

%28x%5E2%2B9x-10%29%2F%28x%2B10%29 Since the denominators are equal, we can combine the fractions

%28x%2B10%29%28x-1%29%2F%28x%2B10%29 Factor

cross%28%28x%2B10%29%29%28x-1%29%2Fcross%28%28x%2B10%29%29 Reduce

So the expression

x%5E2%2F%28x%2B10%29%2B%289x-10%29%2F%28x%2B10%29

simplifies to

x-1