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(x^2-y^2)(x-y)^2-(x-y)^4
=(x-y)^2[(x^2-y^2)-(x-y)^2]
=(x-y)^2(x^2-y^2-x^2+2xy-y^2)
=(x-y)^2(-2y^2+2xy)
=2y(x-y)^2(x-y)
=2y(x-y)^3
=(x-y)^2[(x^2-y^2)-(x-y)^2]
=(x-y)^2(x^2-y^2-x^2+2xy-y^2)
=(x-y)^2(-2y^2+2xy)
=2y(x-y)^2(x-y)
=2y(x-y)^3
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(x^2-y^2)(x-y)^2-(x-y)^4
=(x+y)(x-y)^3-(x-y)^4
=[(x+y)-(x-y)](x-y)^3
=2y(x-y)^3
=(x+y)(x-y)^3-(x-y)^4
=[(x+y)-(x-y)](x-y)^3
=2y(x-y)^3
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