Factorization factor (x + y) (x + y + 2XY) + x ^ 2Y ^ 2-1

Factorization factor (x + y) (x + y + 2XY) + x ^ 2Y ^ 2-1

Original formula = (x + y) ^ 2 + 2XY (x + y) + (XY) ^ 2-1
=(x+y+xy)^2-1
=(x+y+xy-1)(x+y+xy+1)
=(xy+x+y-1)(x+1)(y+1)