Question

Factor 36m^3-6m^2p^2-6mp+p^3

Answer 1

$36=6\cdot 6\\m^3=m^2\cdot m\\p^3=p^2\cdot p\\\\36m^3-6m^2p^2-6m\cdot pp+p^3=6m^2\cdot6m-6m^2\cdot p^2-6mp+p^2\cdot p\\\\=6m^2(6m-p^2)-p(6m-p^2)=\huge\boxed{(6m-p^2)(6m^2-p)}$