Algebraic Identities

\( (a+b)^2 = a^2 + 2ab +b^2 \)
\( (a-b)^2 = a^2 - 2ab +b^2 \)
\( a^2 - b^2 = (a + b) (a - b) \)
\( (a+b)^3 = a^3 + b^3 + c^3 + 3ab(a+b) \)
\( (a-b)^3 = a^3 - b^3 - c^3 - 3ab(a-b) \)
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