## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$a^6+12a^3+36$
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $\left( a^3+6 \right)^2$, is equivalent to \begin{array}{l}\require{cancel} (a^3)^2+2(a^3)\left( 6 \right)+\left( 6 \right)^2 \\\\= a^6+12a^3+36 .\end{array}