SOLUTION: Find each product (x+2)³

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find each product (x+2)³      Log On


   



Question 118713: Find each product
(x+2)³

Answer by m.hansen(16) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%5E3
::expand
%28x%2B2%29%28x%2B2%29%28x%2B2%29
:: foil the first pair
%28x%2Ax+%2B+2%2Ax+%2B+2%2Ax+%2B+2%2A2%29%28x%2B2%29
:: simplify & combine like terms
+%28x%5E2+%2B+4x+%2B+4%29+%28x%2B2%29
:: now use the distributive property on these two factors
+x%5E2%2Ax+%2B+x%5E2+%2A+2+%2B+4x%2Ax+%2B+4x%2A2+%2B+4%2Ax+%2B+4%2A2+
:::simplify
x%5E3+%2B+2x%5E2+%2B+4x%5E2+%2B+8x+%2B+4x+%2B+8
x%5E3+%2B+6x%5E2+%2B+12x+%2B+8