因式分解:(x的平方-y的平方)(x+y)-(x-y)的三次方?
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(x^2-y^2)(x+y)-(x-y)^3
=(x+y)(x-y)(x+y)-(x-y)^3
=(x-y)[(x+y)^2-(x-y)^2]
=(x-y)[(x+y)+(x-y)][(x+y)-(x-y)]
=(x-y)*2x*2y
=4xy(x-y),8,(x的平方-y的平方)(x+y)-(x-y)的三次方
=(x+y)(x-y)(x+y)-(x-y)*(x-y)^2
=(x^2+2xy+y^2)(x-y)-(x^2-2xy+y^2)(x-y)
=(x^2+2xy+y^2-x^2+2xy-y^2)(x-y)
=4xy(x-y),2,
=(x+y)(x-y)(x+y)-(x-y)^3
=(x-y)[(x+y)^2-(x-y)^2]
=(x-y)[(x+y)+(x-y)][(x+y)-(x-y)]
=(x-y)*2x*2y
=4xy(x-y),8,(x的平方-y的平方)(x+y)-(x-y)的三次方
=(x+y)(x-y)(x+y)-(x-y)*(x-y)^2
=(x^2+2xy+y^2)(x-y)-(x^2-2xy+y^2)(x-y)
=(x^2+2xy+y^2-x^2+2xy-y^2)(x-y)
=4xy(x-y),2,
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