SOLUTION: x to third power Plus 27 divided by x plus 3

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Question 682044: x to third power Plus 27 divided by x plus 3
Answer by ReadingBoosters(3246) About Me  (Show Source):
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%28x%5E3+%2B+27%29%2F%28x%2B3%29
...
x+3 goes into x%5E3+%2B+27 : x^2
to get
x%5E3+%2B+3x%5E2
subtracting
x%5E3+-+x%5E3+%2B+27+-+3x%5E2
yielding
-3x%5E2%2B27
...
The remainder factors as
-3(x^2-9)
-3(x+3)(x-3)
...
%28x%5E3%2B27%29%2F%28x%2B3%29+=+x%5E2%28-3%28x%2B3%29%28x-3%29%29%2F%28x%2B3%29
...
%28x%5E2%29%28-3%28x-3%29%29
...
%28x%5E2%29%28-3x%2B9%29
Resulting in:
-3x%5E3%2B9x%5E2 = -3x%5E2%28x-3%29
.....................
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