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

$10a^2(4m^2+1)(2m+1)(2m+1)$
Factoring the $GCF= 10a^2$, then the given expression, $160a^2m^4-10a^2$ is equivalent to \begin{array}{l} 10a^2(16m^4-1) .\end{array} Using $a^2-b^2=(a+b)(a-b)$ or the factoring of the difference of $2$ squares, then the complete factored form of the expression above is \begin{array}{l} 10a^2(4m^2+1)(4m^2-1) \\\\= 10a^2(4m^2+1)(2m+1)(2m+1) .\end{array}