下列各式分解因式正确的是A.(x-y)2-(x-y)＝(x-y)(x-y)2B.(x-y)2-(x-y)＝(x-y)(x-y)＝(x-y)2C.(x-y)2-(y-x)＝(x-y)2-(x-y)＝(x-y)(x-y-1)D.(x-y)2-(y-x)＝(x-y)2+(x-y)＝(x-y)(x-y+1)
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D解析A式(x-y)2-(x-y)＝(x-y)(x-y-1)≠(x-y)(x-y)2．故A是错误的；B式中第二项提出公因式x-y后漏掉了“1”；C式中x-y与y-x只差一个符号，分解时没变换符号，应为(x-y)2-(y-x)＝(x-y)2+(x-y)＝(x-y)(x-y+1)．故选D．