分解因式 a(x-y)+b(y-x)+c(x-y)

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分解因式a(x-y)+b(y-x)+c(x-y)分解因式a(x-y)+b(y-x)+c(x-y)分解因式a(x-y)+b(y-x)+c(x-y)(x-y)(a-b+c)(a-b+c)(x-y)a(x-

分解因式 a(x-y)+b(y-x)+c(x-y)
分解因式 a(x-y)+b(y-x)+c(x-y)

分解因式 a(x-y)+b(y-x)+c(x-y)
(x-y)(a-b+c)

(a-b+c)(x-y)

a(x-y)+b(y-x)+c(x-y)
=a(x-y)-b(x-y)+c(x-y)
=(x-y)(a-b+c)

(a +c -b )(x -y )

(a-b+c)x+(-a+b-c)y
=(a-b+c)x-(a-b+c)y
=(a-b+c)(x-y)

=(a-b+c)x-(a-b+c)y
= (a-b+c)(x-y)

原式=a(x-y)-b(x-y)+c(x-y)
=(a-b+c)(x-y)