SOLUTION: Divide and simplify x^2 - 16/x divided by x +4/x + 5 I got (x - 4)(x +5)/x

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Question 442687: Divide and simplify
x^2 - 16/x divided by x +4/x + 5
I got (x - 4)(x +5)/x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Divide and simplify
x^2 - 16/x divided by x +4/x + 5
I got (x - 4)(x +5)/x
------------
%28%28x%5E2+-+16%29%2Fx%29%2F%28%28x+%2B4%29%2F%28x+%2B+5%29%29
Invert the divisor and multiply
= %28%28x%5E2+-+16%29%2Fx%29%2A%28%28x+%2B+5%29%2F%28x+%2B+4%29%29
Factor x^2 - 16
= %28%28x-4%29%28x%2B4%29%2Fx%29%2A%28%28x+%2B+5%29%2F%28x+%2B+4%29%29
Cancel x+4
= %28%28x-4%29%2Fx%29%2A%28x+%2B+5%29
= %28x-4%29%2A%28x%2B5%29%2Fx