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Square Formulas

  • (a + b)2= a2 + b2 + 2ab
  • (a − b)2 = a2 + b2 − 2ab
  • a2 − b2 = (a − b) (a + b)
  • (x + a) (x + b) = x2 + (a + b) x + ab
  • (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
  • (a + (−b) + (−c))2 = a2 + (−b)2  + (−c)2 + 2a (−b) + 2 (−b) (−c) + 2a (−c) 

    (a – b – c)2 = a2 + b2 + c2 − 2ab + 2bc − 2ca


Cube Formulas

  • (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a − b)3 = a3 - b3 - 3ab(a - b)
  • a3 − b3 = (a − b) (a2 + b2 + ab)
  • a3 + b3 = (a + b) (a2 + b2 − ab)
  • (a + b + c)3 = a3 + b3 + c3 + 3(a + b)(b + c)(c + a)
  • a3 + b3 + c− 3abc = (a + b + c) (a2 + b2 + c2 − ab − bc − ac)

Power n Formula

  • an − bn = (a − b) (an−1 + an−2 b1 + an−3 b2 + .... + abn−2 + bn−1 )

 


Exponent Law

Exponent law.jpg

  • √a = a1/2

  • ∛a = a1/3

  • n√a = a1/n

  • ap. aq = ap + q
  • ap / aq = ap - q
  • ap. bp = (ab)p
  • (ap)q. = apq
  • a0. = 1
  • a–n. = 1/an

 


For Irrational Numbers

Irrational numbers formula - Algebra Formulas - teachoo.jpg


Quadratic Formula

 

Quadratic Formula to solve quadratic equations - Algebra Formulas teachoo.jpg

  1. Chapter 1 Class 10 Real Numbers
  2. Concept wise
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About the Author

CA Maninder Singh's photo - Expert in Practical Accounts, Taxation and Efiling
CA Maninder Singh
CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .
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