SOLUTION: (2x+y)(4x^2-2xy+y^2)

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Question 975790: (2x+y)(4x^2-2xy+y^2)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E%22%22%2By%29%284x%5E2-2xy%2By%5E2%29
The given expression resembles the results of factoring the sum of
two cubes, as in

A%5E3%2BB%5E3%29%22%22=%22%22%28A%5E%22%22%2BB%29%28A%5E2-AB%2BB%5E2%29

So we try to get the given expression into the form of the right side: %28A%2BB%29%28A%5E2-AB%2BB%5E2%29

%28%282x%29%5E%22%22%2B%28y%29%29%28%282x%29%5E2-%282x%29y%2B%28y%29%5E2%29

So A=2x, B=y

This shows that the given expression is the factorization of

%282x%29%5E3%2By%5E3

or

8x%5E3%2By%5E3

Edwin