Math, asked by zxcvbnm02, 5 months ago

What are Algebraic identities?

write all of them....now​

Answers

Answered by surabhisalunkhe9
1

Answer:

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.

Answered by Agamsain
8

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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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