Question

How do you simplify `(x+2)^3`?

Answer 1

Simplifying `(x+2)^3` is: `x^3+6x^2+12x+8`

Explanation:

So since (x+2) is being times 3 times, we know that x has to be the third power. So we do two binomial at a time.

`(x+2)(x+2)`
`x^2+2x+2x+4)` ----> Using FOIL Method
`x^2+4x+4` ------> Combining like terms

Now we multiply `x^2+4x+4` by (x+2) because we already did 2 binomials of `(x+2)` already so we need to use the third one of `(x+2)`

`(x^2+4x+4)(x+2)`
`x^3+2x^2+4x^2+8x+4x+8` ---> Using Distributive Property

So our final answer when combining like term is:
`x^3+6x^2+12x+8`