因式分解 x^2-xy-6y^2+x-8y-2如题,因式分解,越快越好,_数学解答

因式分解 x^2-xy-6y^2+x-8y-2
如题,因式分解,越快越好,

人气：137 ℃　时间：2020-01-29 21:15:38

解答

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)