如何解因式分解x(x-y)(a-b)-y(y-x)(b-a)

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如何解因式分解x(x-y)(a-b)-y(y-x)(b-a)
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如何解因式分解x(x-y)(a-b)-y(y-x)(b-a)
如何解因式分解x(x-y)(a-b)-y(y-x)(b-a)

如何解因式分解x(x-y)(a-b)-y(y-x)(b-a)
x(x-y)(a-b)-y(y-x)(b-a)
=x(x-y)(a-b)-y(x-y)(a-b)
=(x-y)^2(a-b)

抱歉,看的不是很清,把题目弄明白点啊 ……

解法:
将变量顺序保持一致,然后合并同类项,进行合并计算
x(x-y)(a-b)-y(y-x)(b-a)
=x(x-y)(a-b)-y(x-y)(a-b)
=(x-y)^2(a-b)

原试=x(x-y)(a-b)-y(x-z)(a-b)
=(x-y)(a-b)(x-y)
=(x-y)2(a-b)