Question

how to factorize 36x^2-12ax+(a^2-b^2)

Answer 1

36x^2 - 12ax + (a^2 - b^2)
=36x^2 - 6ax - 6ax + a^2 - b^2
=6x(6x - a) - a(6x - a) - b^2
=(6x - a)(6x - a) - b^2
= (6x - a)^2 - b^2
=(6x - a + b)(6x - a - b)