SOLUTION: (x-9)^6-16(x-9)^4)/(x-9)^6(x-13)

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Question 183814: (x-9)^6-16(x-9)^4)/(x-9)^6(x-13)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x-9%29%5E6-16%28x-9%29%5E4%29%2F%28x-9%29%5E6%28x-13%29
Cancel (x-9)^4
=%28%28x-9%29%5E2+-+16%29%2F%28x-9%29%5E2%28x-13%29
The NUM is a difference of squares.
=%28%28x-9%29%2B4%29%2A%28x-9%29-4%29%2F%28x-9%29%5E2%28x-13%29
=%28x-5%29%2A%28x-13%29%2F%28x-9%29%5E2%28x-13%29
=%28x%2B5%29%2F%28x-9%29%5E2