Question

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

Answer 1

Given Equation is 2ab - a^2 - b^2 + 1 can be written as,

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

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

-(a - b)^2 + 1

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

We know that a^2 + b^2 = (a + b)(a - b)

-(a - b + 1)(a - b - 1).


Hope this helps!