一道数学题,(x-y)^3×(x-y)^2×(y-x)

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一道数学题,(x-y)^3×(x-y)^2×(y-x)
一道数学题,(x-y)^3×(x-y)^2×(y-x)

一道数学题,(x-y)^3×(x-y)^2×(y-x)
(x-y)^3×(x-y)^2×(y-x)=-(x-y)^6

(x-y)^3×(x-y)^2×(y-x)
=-(x+y)³(x-y)²(x-y)
=-(x+y)^(3+2+1)
=-(x+y)^6

原式=(x-y)^3×(x-y)^2×[-(x-y)]
=-(x-y)^(3+2+1)
=-(x-y)^6

回答即可得2分经验值,还可以得到广大(x-y)^3×(x-y)^2×(y-x)
=-(x-y)^3×(x-y)^2×(x-y)
=-(x-y)^(3+2+1)
=-(x-y)^6网友的赞同