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

$x^6+24x^3+144$
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $(x^3+12)^2$, is equivalent to \begin{array}{l}\require{cancel} (x^3)^2+2(x^3)(12)+(12)^2 \\\\= x^6+24x^3+144 .\end{array}