a2 - b2
=
(a + b)(a - b)
a2 + 2ab + b2
(a + b)(a + b)
a2 - 2ab + b2
(a - b)(a - b)
a3 + b3
(a + b)(a2 - ab + b2)
a3 - b3
(a - b)(a2 + ab + b2)
a3 + 3a2b + 3ab2 + b3
(a + b)3
a3 - 3a2b + 3ab2 - b3
(a - b)3
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