高阶因式分解2x²＋xy－y²－4x＋5y－6.

高阶因式分解2x²＋xy－y²－4x＋5y－6.
高阶因式分解
2x²＋xy－y²－4x＋5y－6.

高阶因式分解2x²＋xy－y²－4x＋5y－6.
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)
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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)

2x²＋xy－y²－4x＋5y－6=（2x-y+2）(x+y-3)很快可得解方法为实数的分配律