Answer
$x^{3}$ + 6$x^{2}$ + 12x + 8
Work Step by Step
$(x + 2)^{3}$ =
(x + 2)(x + 2)(x + 2) =
Remember that $(a+b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$.
So, (x + 2)(x + 2)(x + 2) =
($x^{2}$ + 2$\times$x$\times$2 + $2^{2}$)(x + 2) =
($x^{2}$ + 4x + 4)(x + 2) =
Use the distributive property.
$x^{2}$(x) +$x^{2}$(2) +4x(x) +4x(2) +4(x) +4(2) =
$x^{3}$ + 2$x^{2}$ + 4$x^{2}$ + 8x + 4x + 8=
Simplify.
$x^{3}$ + 6$x^{2}$ + 12x + 8