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

$64a^6+48a^3+9$
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the product of the given expression, $(8a^3+3)^2 ,$ is \begin{array}{l}\require{cancel} (8a^3)^2+2(8a^3)\left( 3 \right)+\left( 3 \right)^2 \\\\= 64a^6+48a^3+9 .\end{array}