X^2-XY-6Y^2+3X+X-8Y-2
=(X-3Y)(X+2Y)-(X+2Y)+2X-6Y-2
=(X-3Y)(X+2Y)-(X+2Y)+2(X-3Y)-2
=(X-3Y-1)(X+2Y)+2(X-3Y-1)
=(X+2Y+2)(X-3Y-1)
X^2-XY-6Y^2+3X+X-8Y-2
=(X-3Y)(X+2Y)-(X+2Y)+2X-6Y-2
=(X-3Y)(X+2Y)-(X+2Y)+2(X-3Y)-2
=(X-3Y-1)(X+2Y)+2(X-3Y-1)
=(X+2Y+2)(X-3Y-1)