Simplify the following expression:

(x+8)^3; and the answer is not x^3+512.

Simplify the following expression:

(x+8)^3; and the answer is not x^3+512.

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Brooklyn, NY

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!

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