# List of Formulas in Algebra

## Algebraic Identities

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