因式分解:5(x-y)^2+7(x-y)-6

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因式分解:5(x-y)^2+7(x-y)-6

因式分解:5(x-y)^2+7(x-y)-6
因式分解:5(x-y)^2+7(x-y)-6

因式分解:5(x-y)^2+7(x-y)-6
(5x-5y-3)x(x-y+2)

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

5(x-y)^2+7(x-y)-6
5 2
1 -3
所以=[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)

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

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