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Basic Algebra Formula Algebraic Equation and Formulas

Basic Algebra Formula Algebraic Equation and Formulas

This post deals with popular algebra formula or equation, idle for students who want to learn basic of Algebra. Algebraic Formulas useful for CBSE, ICSE, Bihar Board, UP Board, West Bengal Board or any other State board.

  • (x – y)2 = x2 – 2xy + y2
  • (x+y)2 = x2 + 2xy + y2
  • x2 + y2 = (x+ y)2 – 2xy
  • x2 – y2 = (x – y)(x + y)
  • (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
  • (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2zx
  • (x + y)3 = x3 + 3x2y + 3xy2 + y3
  • (x + y)3 = x3 + y3 + 3xy(x+ y)
  • (x – y)3 = x3 – 3x2y + 3xy2 – y3
  • x3 – y3 = (x – y)(x2 + xy + y2)
  • x3 + y3 = (x + y)(x2 – xy + y2)
  • xn−yn=(x−y)(xn−1+xn−2y+xn−3y2+…+yn−1) where n is natural number

 

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