Factorize: a 2 -b 2 +2ab-c 2

Given, a 2 -b 2 +2ab-c 2 = a 2 -(b 2 -2bc+c 2 ) = a – (b-c) 2 = (a + (b-c)) (a-(b-c)) = (a+b-c) (a-b+c)

Factorize:
a²-b²+2ab-c²

Given,

a²-b²+2ab-c² = a²-(b²-2bc+c²)

= a – (b-c)²

= (a + (b-c)) (a-(b-c))

= (a+b-c) (a-b+c)