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Simplify the expression (x+8)^3

Simplify the following expression:
(x+8)^3; and the answer is not x^3+512.

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Emily S. | Tutor for the SAT, Math, English, and College PrepTutor for the SAT, Math, English, and Co...
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
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
Hope this helped!


Thank you so much Emily! I had the concept down just couldn't get my mind to get started! But again, thank you so much!!
to whom it may concern the solution is incorrect, it is x^3+24x^2+192x+512