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

$49x^6-14x^3+1$
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $(7x^3-1)^2$, is equivalent to \begin{array}{l}\require{cancel} (7x^3)^2+2(7x^3)(-1)+(-1)^2 \\\\= 49x^6-14x^3+1 .\end{array}