Hi Joshlyn,
To answer this question, you have to remember that you can't distribute a power the same way you can distribute multiplication and division. So (x+8)^{3} is the same as (x+8)(x+8)(x+8).
Then you multiply it out, and it looks like
x^{3}+8x^{2}+8x^{2}+64x+8x^{2}+64x+512
You do this by multiplying each of the numbers in each binomial by each of the other numbers, so first you do x*x*x, then x*x*8, then x*8*x, and so on.
Simplified, this looks like
x^{3}+32x^{2}+128x+512
Hope this helped!
4/25/2014

Emily S.
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