Factorize 1-(a-b)2

Answer 1

1 - (a - b)2 can be factorized as follows:

1 - (a - b)2

1 - (a^2 - 2ab + b^2)

1 - a^2 + 2ab - b^2

(1 - a^2) + 2ab - b^2

(1 - a)(1 + a) + 2ab - b^2

(1 - a)(1 + a) + b(2a - b)