Question

Factoring 12m^2n^2-8mn+1=

Answer 1

$First \ write\ as \ 4\ terms:\\\\ -8mn=-6mn-2mn \\\\12m^2n^2-8mn+1=12m^2n^2-6mn-2mn+1=\\6mn(2mn-1)-1(2mn+1)=(6mn-1)(2mn-1)$

Answer 2

$12m^2n^2-8mn+1=12m^2n^2-2mn-6mn+1=\\\\=2mn\cdot6mn-2mn\cdot1-1\cdot6mn-1\cdot1=\\\\=2mn(6mn-1)-1(6mn-1)=(6mn-1)(2mn-1)$