Question

factorize a^2- c^2-2ab+b^2

Answer 1

collect a and b terms aside
(a^2+b^ 2-2ab) -(c^2)
(a-b) ^2-c^2
(a-b-c) (a-b+c)

Answer 2

a²-c²-2ab+b²
=a²-2ab+b²-c²
=(a-b)²-c²{As we know;a²-2ab+b²=(a-b)²}
=[(a-b)-c][(a-c)+c]{as we know:;a²-b²=(a-b)(a+b)}