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x^3-y^3-x^2y+xy^2
=x^3-x^2y-y^3+xy^2
=x^2(x-y)-y^2(y-x)
=x^2(x-y)+y^2(x-y)
=(x^2+y^2)(x-y)
=x^3-x^2y-y^3+xy^2
=x^2(x-y)-y^2(y-x)
=x^2(x-y)+y^2(x-y)
=(x^2+y^2)(x-y)
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=x2(x-y)+y2(x-y)
=(x-y)(x2-y2)
=(x-y)(x-y)(x+y)
=(x-y)2(x+y)
=(x-y)(x2-y2)
=(x-y)(x-y)(x+y)
=(x-y)2(x+y)
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