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

$x^{14}-4x^8+4x^6-16$
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of 2 binomials, the product of the given expression, $(x^6-4)(x^8+4) ,$ is \begin{array}{l}\require{cancel} x^6(x^8)+x^6(4)-4(x^8)-4(4) \\\\= x^{14}+4x^6-4x^8-16 \\\\= x^{14}-4x^8+4x^6-16 .\end{array}