Given some formulas of Algebraic identities.

Formulas of  Algebraic Identities:

Identity I: $(a+b)^2 = a^2 + b^2 + 2ab$

Identity II: $(a-b)^2 = a^2 + b^2 - 2ab$

 Identity III: $a^2 - b^2 = (a+b)(a-b)$

Identity IV: $(x+a)(x+b) = x^2 + (a+b)x + ab$

Identity V: $(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac$

Identity VI: $(a+b)^3 = a^3 + b^3 + 3ab(a+b)$

Identity VII:$(a-b)^3 = a^3 - b^3 - 3ab(a-b)$

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

Substituting the given values in these identities we can find the value of any given expression.

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Updated on: 10-Oct-2022

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