SOLUTION: please provide the simplified results 5x - 5y ÷ 5x - 10y x2 + 6xy - 16y2 x2 + 10xy + 16y2

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Question 103626: please provide the simplified results
5x - 5y ÷ 5x - 10y
x2 + 6xy - 16y2 x2 + 10xy + 16y2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression

Multiply the first fraction by the reciprocal of the second fraction


Factor out 5 out of the first numerator


Factor the first denominator


%285%28x-y%29%2F%28x%2B8y%29%28x-2y%29%29%2A%28%28x%2B8y%29%28x%2B2y%29%2F%285x+-+10y%29%29 Factor the second numerator


%285%28x-y%29%2F%28x%2B8y%29%28x-2y%29%29%2A%28%28x%2B8y%29%28x%2B2y%29%2F5%28x+-+2y%29%29 Factor the second denominator


Cancel out like terms


%28%28x-y%29%2F%28x-2y%29%29%2A%28%28x%2B2y%29%2F%28x+-+2y%29%29 Simplify


%28x-y%29%28x%2B2y%29%2F%28x-2y%29%5E2 Multiply the two fractions