Factorization factor X ^ 2-2xy + y ^ 2 + 2x-2y-8

Factorization factor X ^ 2-2xy + y ^ 2 + 2x-2y-8

x^2-2xy+y^2+2x-2y-8
=[x^2-2xy+y^2]+2(x-y)-8
=[x-y]^2+2[x-y]-8
=[x-y+4][x-y-2]