Question

What is the factored form of x3 + 216?

Answer 1

`B.  (x + 6)(x^2 - 6x + 36)`

Explanation:

x^3 + 216

x^3 is the cube of x.

216 is the cube of 6.

This is the same as x^3 + 6^3 and follows the pattern

`a^3 + b^3 = (a + b)(a^2 - ab + b^2)`

`x^3 + 216 = (x + 6)(x^2 - 6x + 36)`

Answer 2

`(x+6) (x^2-6x+36)`

Explanation:

Use the identity
`a^3+b^3` ×
`(a^2-ab+b^2)` and the fact that
`216=6^3`

we have that,

`x^3+6^3=(x+6)(x^2-6x+36)`