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

$(5c^2-2d^2)(25c^4+10c^2d^2+4d^4)$
Using $a^3+b^3=(a+b)(a^2-ab+b^2)$ or the factoring of 2 cubes, the factored form of the given expression, $125c^6-8d^6 ,$ is \begin{array}{l} (5c^2-2d^2)[ (5c^2)^2-(5c^2)(-2d^2)+(-2d^2)^2] \\\\= (5c^2-2d^2)(25c^4+10c^2d^2+4d^4) .\end{array}