SOLUTION: simplify (X + 2p)^3 - (X - 2p)^3

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Question 50929: simplify (X + 2p)^3 - (X - 2p)^3
Found 2 solutions by darq, stanbon:
Answer by darq(90) About Me  (Show Source):
You can put this solution on YOUR website!
(X + 2p)3 - (X - 2p)3
divide by the terms with the common factor "3"
3*((x+2p)-(x-2p))
3*(x+2p-x+2p)
3*4p
12p

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(X + 2p)^3 - (X - 2p)^3
=x^3+x^2(2p)+x(2p)^2+(2p)^3
-[(x^3+x^2(-2p)+x(-2p)^2+(-2p)^3]
=x^3+x^2(2p)+x(2p)^2+(2p)^3
-[(x^3-x^2(2p)+x(2p)^2-(2p)^3]
=2x^2(2p)+2(2p)^3
=4x^2+16p^3
Cheers,
Stan H.