Class 9 Maths Polynomials Algebraic Identities

Algebraic Identities

Algebraic identity is an algebraic equation that is true for all values of the variables occurring in it

  • (x + y)2 = x2 + 2xy + y2
  • (x y)2 = x2 – 2xy + y2
  • x2y2 = (x + y) (x y)
  • (x + a) (x + b) = x2 + (a + b)x + ab.
  • (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
  • (x + y)3 = x3 + y3 + 3xy(x + y)
  • (x – y)3 = x3 – y3 – 3xy(x – y)
  • x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)

 

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