Polynomial expansion formulas list

[
(a+b)(c+d)=ac+ad+bc+bd \~\
(a+b)^2 = a^2+2ab+b^2 \~\
(a-b)^2 = a^2-2ab+b^2 \~\
(a+b)(a-b) = a^2-b^2 \~\
(a+b+c)^2 = a^2+b^2+c^2+2ab+2bc+2ca \~\
(a+b)^3 = a^3 + 3 a^2 b + 3 a b^2 + b^3 \~\
(a-b)^3 = a^3 - 3 a^2 b + 3 a b^2 - b^3 \~\
]

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