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!

Robert E.

Experienced Physics and Math Tutor

Jamaica, NY

4.9
(505 ratings)

Jing X.

IVY-graduate specializing in SAT, ACT, Math and College App

Brooklyn, NY

4.9
(77 ratings)

- Algebra 2 3294
- Polynomial Long Division 18
- Remainder Theorem 15
- Algebra 1 3936
- Factoring Polynomials 114
- Quadratic Polynomials 8
- Algebra 4900
- Math 9356
- Math Help 5191
- Polynomial 88

## Comments