SOLUTION: How to simplify (x+2)^3

Algebra ->  Equations -> SOLUTION: How to simplify (x+2)^3      Log On


   



Question 870591: How to simplify (x+2)^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First find %28x%2B2%29%5E2


%28x%2B2%29%5E2+=+%28x%2B2%29%28x%2B2%29


%28x%2B2%29%5E2+=+x%28x%2B2%29%2B2%28x%2B2%29


%28x%2B2%29%5E2+=+x%5E2%2B2x%2B2x%2B4


%28x%2B2%29%5E2+=+x%5E2%2B4x%2B4


------------------------------------------------------------------------------------------


Now use this to find %28x%2B2%29%5E3


%28x%2B2%29%5E3+=+%28x%2B2%29%2A%28x%2B2%29%5E2


%28x%2B2%29%5E3+=+%28x%2B2%29%2A%28x%5E2%2B4x%2B4%29 Replace %28x%2B2%29%5E2 with x%5E2%2B4x%2B4


%28x%2B2%29%5E3+=+x%28x%5E2%2B4x%2B4%29%2B2%28x%5E2%2B4x%2B4%29


%28x%2B2%29%5E3+=+x%5E3%2B4x%5E2%2B4x%2B2x%5E2%2B8x%2B8


%28x%2B2%29%5E3+=+x%5E3%2B6x%5E2%2B12x%2B8