## Introductory Algebra for College Students (7th Edition)

$x^4y^4-10x^2y^2+25$
Using $(a\pm b)^2=a^2\pm2ab+b^2$ or the square of a binomial, the square of the given expression, $(x^2y^2-5)^2 ,$ is \begin{array}{l}\require{cancel} (x^2y^2)^2-2(x^2y^2)(5)+(5)^2 \\\\= x^4y^4-10x^2y^2+25 .\end{array}