SOLUTION: Please show me the steps on how to solve this problem. x+9/x-3 * x^3-27/x^2+3x+9

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Question 205601This question is from textbook
: Please show me the steps on how to solve this problem.
x+9/x-3 * x^3-27/x^2+3x+9 This question is from textbook

Found 2 solutions by Earlsdon, RAY100:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28%28x%2B9%29%2F%28x-3%29%29%2A%28%28x%5E3-27%29%2F%28x%5E2%2B3x%2B9%29%29 Factor the numerator of the second fraction.
Cancel the common factors as indicated to leave:
highlight%28x%2B9%29

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
{ ( x+9) / (x-3) } * {(x^3 -27) / (x^2 +3x+9)}
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factor cubic,,,x^3 -27 = x^3 -3^3 = (x-3)(x^2 +3x +9)
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{(x+9)/(x-3)} * { (x-3)(x^2 +3x +9)/ (x^2 +3x+9)}
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simplify by canceling like terms
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(x+9)
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check,,,let x=2,,, original and answer = 11,,,ok