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因式分解(a-b)²(x-y)-(b-a)(y-x)²=(a-b)(x-y)×( )
人气:124 ℃ 时间:2019-10-23 11:36:49
解答
(a-b)²(x-y)-(b-a)(y-x)²
=(a-b)(x-y)(a-b+(x-y))
=(a-b)(x-y)×( a-b+x-y)mn²(x-y)的三次方+m²n(x-y)的四次方,分解后的结果等于mn²(x-y)的三次方+m²n(x-y)的四次方=mn(x-y)³(n+m(x-y))=mn(x-y)³(n+mx-my)分解因式xy²-2xy+2y-4xy²-2xy+2y-4=xy(y-2)+2(y-2)=(xy+2)(y-2)
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