Special products and factoring

(a+b)2=a2+2ab+b2 ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$
(a−b)2=a2−2ab+b2 ${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$
a2−b2=(a+b)(a−b) $a^{2} - b^{2} = (a + b) (a - b)$
(a+b)3=a3+3a2b+3ab2+b3 ${(a + b)}^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}$
a3+b3=(a+b)(a2−ab+b2) $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$
a3−b3=(a−b)(a2+ab+b2) $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$

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