x的2次方(x-y)+(y-x)分解因式

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x的2次方(x-y)+(y-x)分解因式x的2次方(x-y)+(y-x)分解因式x的2次方(x-y)+(y-x)分解因式解x²(x-y)+(y-x)=x²(x-y)-(x-y)=(

x的2次方(x-y)+(y-x)分解因式
x的2次方(x-y)+(y-x)分解因式

x的2次方(x-y)+(y-x)分解因式

x²(x-y)+(y-x)
=x²(x-y)-(x-y)
=(x²-1)(x-y)
=(x-1)(x+1)(x-y)

x²(x-y)+(y-x)
=x²(x-y)-(x-y)
=(x-y)(x²-1)
=(x-y)(x+1)(x-1)

原式=(x-y)(x²-1)=(x-y)(x+1)(x-1)