List of Formulas in Algebra

Algebraic Identities

\((a + b)^2 = a^2 + 2ab +b^2\) \((a – b)^2 = a^2 – 2ab + b^2\) \(a^2 – b^2 = (a + b)(a – b)\) \((a + b)^3 = a^3 + b^3 + 3ab(a+b)\) \((a – b)^3 = a^3 – b^3 – 3ab(a-b)\) \((a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca\) \(a^3 + b^3 + c^3 – 3abc = (a+b+c)(a^2 + b^2 + c^2 -ab – bc -ca)\) \(a^3 – b^3 = (a-b)(a^2 + ab + b^2)\) \(a^3 + b^3 = (a+b)(a^2 – ab + b^2)\)
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