## Elementary Algebra

27$n^{3}$ + 54$n^{2}$ + 36n + 8
$(3n + 2)^{3}$ = (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