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.

Tutors, please sign in to answer this question.

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!

David T.

Very Experienced, Knowledgeable, and Patient Math Tutor

Dobbs Ferry, NY

5.0
(93 ratings)

Steven M.

Premium Test Prep and Subject Tutor - New York City UWS

New York, NY

5.0
(249 ratings)

Richard B.

Effective and Experienced Math and Science Tutor and Teacher

South Orange, NJ

5.0
(201 ratings)

- Algebra 2 3163
- Polynomial Long Division 18
- Remainder Theorem 14
- Algebra 1 3762
- Factoring Polynomials 110
- Quadratic Polynomials 8
- Math 8632
- Algebra 4568
- Math Help 4874
- Polynomial 84

## Comments