Question

Factor the expression.
x^3+8

Answer 1

x^3+8
= x^3+2^3

a^3 + b^3 = (a + b)(a^2 – ab + b^2) 

so

x^3+8 
= x^3+2^3
= (x+2)(x^2-2x+2^2)
= (x+2)(x^2-2x+4)