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Algebraic Identities | Brilliant Math & Science Wiki An algebraic identity is an equality that holds for any values of its variables. For example, the identity. ( x + y) 2 = x 2 + 2 x y + y 2. (x+y)^2 = x^2 + 2xy + y^2 (x +y)2 = x2 +2xy+y2 holds for all values of. x. x x and. y. y y. Since an identity holds for all values of its variables, it is possible to substitute instances of one side of the ...

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