Question

factorize:-

(x+1)^2-(y-1)^2

Answer 1

$( {x + 1)}^{2} - ( {y - 1)}^{2} \\ {x}^{2} + 1 + 2x - {y}^{2} + 2y - 1 \\ {x}^{2} - {y}^{2} + 2(x + y) \\ (x + y)(x - y) + 2(x + y) \\ (x + y)(x - y + 2)$
is the answer