x(x+y)(x-y)-y(y+x)(y-x)=(x-y)( )填空

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x(x+y)(x-y)-y(y+x)(y-x)=(x-y)( )填空
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x(x+y)(x-y)-y(y+x)(y-x)=(x-y)( )填空
x(x+y)(x-y)-y(y+x)(y-x)=(x-y)( )填空

x(x+y)(x-y)-y(y+x)(y-x)=(x-y)( )填空
x(x+y)(x-y)-y(y+x)(y-x)
=x(x+y)(x-y)+(y+x)(x-y)
=(x+y)(x-y)(x+1)
=(x-y)(x+y)(x+1)
=(x-y)(x^2+x+xy+y)

(x+y)^2