5(x-y)^2-7(x-y)-6因式分解

问题描述:

5(x-y)^2-7(x-y)-6因式分解

(5(x-y)+3) ((x-y)-2)

5(x-y)^2-7(x-y)-6
=(5(x-y)+3)((x-y)-2)
=(5x-5y+3)(x-y-2)

(x-y-2)(5x-5y-3)

令a=(x-y)
原式=5a²-7a-6
=(a-2)(5a+3)
=(x-y-2)(5x-5y+3)

把x-y看成一个整体
5(x-y)^2-7(x-y)-6
=[5(x-y)+3][(x-y)-3]
=(5x-5y+3)(x-y-3)