(x-y)²+y(y-x)因式分解?

如题所述

第1个回答  2020-03-25
因式分解
(x-y)²+y(y-x)
=(x-y)²-y(x-y)
=(x-y-y)(x-y)
=(x-2y)(x-y)
第2个回答  2023-03-31
原式整理,得
(x-y)^2-y(x-y)
提取(x-y),得
(x-y)【(x-y)-y】
即(x-y)(x-2y)本回答被网友采纳
第3个回答  2020-03-25
原式=(y-x)²+y(y-x)
=(y-x)(y-x+y)
=(y-x)(2y-x)追问

还有别的方法吗?

追答

有,你稍等

第4个回答  2020-03-25
(x-y)²+y(y-x)
=(x-y)²-y(x-y)
=(x-y)[(x-y)-y]
=(x-y)(x-2y)

(x-y)²+y(y-x)因式分解?
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x(x-y)+y(y-x)=x(x-y)-y(x-y)=(x-y)(x-y)=(x-y)²明教为您解答,如若满意,请点击[满意答案];如若您有不满意之处,请指出,我一定改正!希望还您一个正确答复!祝您学业进步!

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如图

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您好:x²(x-y)+y²(y-x)=x²(x-y)-y²(x-y)=(x²-y²)(x-y)=(x+y)(x-y)(x-y)=(x+y)(x-y)²如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,...

x(x-y)²-y(y-x)²因式分解,求步骤
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x²(x-y)+(y-x)=(x-y)(x²-1)=(x-y)(x+1)(x-1)两边同时乘以x^2-2x 4+(x-2)=3x 4+x-2=3x 3x-x=4-2 2x=2 x=1 不懂可追问,有帮助请采纳,谢谢!

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因式分解吗?如果是:原式=x²(x-y) + y²[-(x-y)]=x²(x-y) - y²(x-y)=(x-y)(x²-y²)=(x-y)(x+y)(x-y)=(x+y)(x-y)²

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