SOLUTION: Please help with this question: z^2-81/z divided by z-9/z+5 Is the answer the fraction 9/5?

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Question 220805: Please help with this question:
z^2-81/z divided by z-9/z+5
Is the answer the fraction 9/5?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
z^2-81/z divided by z-9/z+5
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Invert the 2nd fraction and multiply
= %28%28z%5E2-81%29%2Fz%29%2A%28%28z%2B5%29%2F%28z-9%29%29
= %28%28z-9%29%2A%28z%2B9%29%2Fz%29%2A%28%28z%2B5%29%2F%28z-9%29%29
= %28z%2B9%29%2A%28z%2B5%29%2Fz