Factors of (a^3-b^3)-(a-b)^3 are
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(a^3-b^3)-(a-b)^3
=(a-b)(a^2+ab+b^2)-(a-b)^3
=(a-b){(a^2+ab+b^2-(a-b)^2}
=(a-b){(a^2+ab+b^2)-(a^2-2ab+b^2)}
=(a-b)(a^2+ab+b^2-a^2+2ab-b^2)
=(a-b)3ab
=3ab(a-b)
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