Question

factor the expression
x^3+216

Answer 1

this is a sum of cubes, recall:

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

Answer 2

(x^(3)+216)

Since both terms are perfect cubes, the binomial can be factored using the sum of cubes formula: a^(3)+b^(3)=(a+b)(a^(2)-ab+b^(2)).
(x+6) ( x^2-6x+36)