＂＂"2*x^2+x*y-y^2-4*x+5y-6"因式分解_数学解答

＂＂"2*x^2+x*y-y^2-4*x+5y-6"因式分解

人气：146 ℃　时间：2020-02-03 12:59:21

解答

2x^2+xy-y^2-4x+5y-6
=(2x-y)(x+y)-4x+5y-6
=(2x-y)(x+y)+(2x+2y)-6x+3y-6
=(2x-y)(x+y)+2(x+y)-6x+3y-6
=(x+y)(2x-y+2)-3(2x-y+2)
=(x+y-3)(2x-y+2)