SOLUTION: please help me FACTOR this EXPRESSION.... {{{(x+1)^3-27}}}

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Question 203948: please help me FACTOR this EXPRESSION....
%28x%2B1%29%5E3-27
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
please help me FACTOR this EXPRESSION....

%28x%2B1%29%5E3-27

Write 27 as 3%5E3

%28x%2B1%29%5E3-3%5E3

Use the factoring rule:  A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29

where A=%28x%2B1%29, B=3

%28%28x%2B1%29-3%29%28%28x%2B1%29%5E2%2B%28x%2B1%29%283%29%2B%283%29%5E2%29

%28x%2B1-3%29%28%28x%2B1%29%28x%2B1%29%2B3%28x%2B1%29%2B9%29

%28x-2%29%28%28x%5E2%2Bx%2Bx%2B1%29%2B3x%2B3%2B9%29

%28x-2%29%28%28x%5E2%2B2x%2B1%29%2B3x%2B12%29

%28x-2%29%28x%5E2%2B2x%2B1%2B3x%2B12%29

%28x-2%29%28x%5E2%2B5x%2B13%29

Edwin