Answer
$x^{3}$ + 12$x^{2}$ + 48x + 64
Work Step by Step
$(x + 4)^{3}$ =
(x + 4)(x + 4)(x + 4) =
Remember that $(a+b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$
So, (x + 4)(x + 4)(x + 4) =
($x^{2}$ + 2$\times$x$\times$4 + $4^{2}$)(x + 4) =
($x^{2}$ + 8x + 16)(x + 4) =
Use the distributive property.
$x^{2}$(x) + $x^{2}$(4) +8x(x) +8x(4) +16(x) +16(4) =
$x^{3}$ + 4$x^{2}$ + 8$x^{2}$ + 32x + 16x + 64 =
Simplify.
$x^{3}$ + 12$x^{2}$ + 48x + 64