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

$x^{10}-8x^5+16$
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $(x^5-4)^2$, is equivalent to \begin{array}{l}\require{cancel} (x^5)^2+2(x^5)(-4)+(-4)^2 \\\\= x^{10}-8x^5+16 .\end{array}