(x-2)^3-(y-2)^3-(x-y)^3
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(x-2)³-(y-2)³-(x-y)³
=[(x-2)-(y-2)][(x-2)²+(x-2)(y-2)+(y-2)²]-(x-y)³
=(x-y)(x²+y²-6x-6y+xy+12)-(x-y)³
=(x-y)[x²+y²-6x-6y+xy+12-(x-y)²]
=(x-y)(3xy-6x-6y+12)
=(x-y)[3x(y-2)-6(y-2)]
=(x-y)*3(y-2)(x-2)
=3(x-2)(x-y)(y-2)
=[(x-2)-(y-2)][(x-2)²+(x-2)(y-2)+(y-2)²]-(x-y)³
=(x-y)(x²+y²-6x-6y+xy+12)-(x-y)³
=(x-y)[x²+y²-6x-6y+xy+12-(x-y)²]
=(x-y)(3xy-6x-6y+12)
=(x-y)[3x(y-2)-6(y-2)]
=(x-y)*3(y-2)(x-2)
=3(x-2)(x-y)(y-2)
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