Answer
$x^3+6x^2+12x+8$
Work Step by Step
We rewrite the given expression:
$(x+2)^3=(x+2)^2(x+2)$
We use the Square of a Binomial rule:
$(x+2)^2(x+2)$
$=(x^2+4x+4)(x+2).$
Then we use the FOIL rule:
$(x^2+4x+4)(x+2)$
$=x^3+2x^2+4x^2+8x+4x+8$
$=x^3+6x^2+12x+8.$
Note: There is also a rule for the Cube of a Binomial:
$(a+b)^3=a^3+3a^2b+3ab^2+b^3$
