Question

1) (x + 1)² - (y + 2)²

Answer 1

(x+1)^2-(y+2)^2= x^2 +2*x*1 +1^2 -y^2-2*y*2 -2^2 =x^2+ 2*x +1 -y^2 - 4*y - 4
=x^2 + 2*x  -y^2 - 4*y - 3

Answer 2

(x + 1)² - (y + 2)²

=$(x^2+2*x*1+1^2)-(y^2+2*Y*2+2^2) =\\ x^2+2x+1-y^2-2y-4=\\ x^2-y^2+2x-2y-3$