Answer
27$n^{3}$ + 54$n^{2}$ + 36n + 8
Work Step by Step
$(3n + 2)^{3}$ =
(3n + 2)(3n + 2)(3n + 2) =
Remember that $(a+b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$
So, (3n + 2)(3n + 2)(3n + 2) =
[$(3n)^{2}$ + 2$\times$3n$\times$2 + $2^{2}$](3n + 2)=
(9$n^{2}$ + 12n + 4)(3n + 2) =
Use the distributive property.
9$n^{2}$(3n) +9$n^{2}$(2) +12n(3n) + 12n(2) +4(3n) +4(2) =
27$n^{3}$ + 18$n^{2}$ + 36$n^{2}$ + 24n + 12n + 8 =
Simplify.
27$n^{3}$ + 54$n^{2}$ + 36n + 8