Polynomial factorization formulas list

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

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