Question

What are Algebraic identities.​

Answer 1

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 and y.

Answer 2

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☞ What are Algebraic Identities ?

• "The algebraic equations which are valid for all values of variables in them are called algebraic identities."

• They are also used for the factorization of polynomials.
• In this way, algebraic identities are used in the computation of algebraic expressions and solving different polynomials.

☞Some Basic Algebraic Identities-

• (a + b)² = a² + 2ab + b²
• (a − b)² = a² − 2ab + b²
• (a + b) (a – b) = a² – b²
• (x + a) (x + b) = x² + (a + b)x + ab
• (x + a) (x – b) = x² + (a – b)x – ab
• (x – a) (x + b) = x² + (b – a)x – ab
• (x – a) (x – b) = x² – (a + b)x + ab
• (a + b)³ = a³ + b³ + 3ab (a + b)
• (a – b)³ = a³ – b³ – 3ab (a – b)

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