Question

The simplified form of the expression $(p^6-512q^6)$ is

Answer 1

$p^6-512q^6$

$=(p^2{)}^3-(8q^2{)}^3$

$=(p^2-8q^2)(p^4+8p^2{q}^2+64q^4)$ $[\because a^3-b^3=(a-b\left)\right(a^2+ab+b^2\left)\right]$