List of Formulas in Algebra
Algebraic Identities

\((a + b)^2 = a^2 + 2ab +b^2\)

\((a – b)^2 = a^2 – 2ab + b^2\)

\(a^2 – b^2 = (a + b)(a – b)\)

\((a + b)^3 = a^3 + b^3 + 3ab(a+b)\)

\((a – b)^3 = a^3 – b^3 – 3ab(ab)\)

\((a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca\)

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

\(a^3 – b^3 = (ab)(a^2 + ab + b^2)\)

\(a^3 + b^3 = (a+b)(a^2 – ab + b^2)\)
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28092023