SOLUTION: I do not understand how they got the answer for this problem. {{{x+h}}}3 The answer is {{{x^3+3x^2h+3xh^2+h^3}}} Please break it down for me. Thank you for your time.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I do not understand how they got the answer for this problem. {{{x+h}}}3 The answer is {{{x^3+3x^2h+3xh^2+h^3}}} Please break it down for me. Thank you for your time.       Log On


   



Question 68317: I do not understand how they got the answer for this problem.
x%2Bh3
The answer is x%5E3%2B3x%5E2h%2B3xh%5E2%2Bh%5E3
Please break it down for me.
Thank you for your time.

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Bh3 means you multiply the base (x+h) three times.
(x + h)(x + h), we will multiply the first two x + h using FOIL Method
F for First term
O for Outer Term
I for Inner Term
L for Last term
The Result will be
x(x) + x(h) + h(x) + h(h)
= +x%5E2+%2Bxh+%2Bxh+%2B+h%5E2 Combine like terms
= x%5E2+%2B+2xh+%2B+h%5E2
As What i've said earlier you are going to multiply three times so we are going to multiply the product of (x+h)(x+h) which is x%5E2+%2B+2xh+%2B+h%5E2 to %28x%2Bh%29
%28x%5E2+%2B+2xh+%2B+h%5E2%29%28x%2Bh%29 Distributive property
%28x%29%28x%5E2+%2B+2xh+%2B+h%5E2%29+%2B+%28h%29%28x%5E2+%2B+2xh+%2B+h%5E2%29
%28x%5E3+%2B+2x%5E2h+%2B+xh%5E2%29+%2B+%28x%5E2h+%2B+2xh%5E2+%2B+h%5E3%29 Combine like terms
This is the result
x%5E3+%2B+3x%5E2h+%2B+3xh%5E2+%2B+h%5E3