Square Formulas

  • (a + b) 2 = a 2 + b 2 + 2ab
  • (a − b) 2 = a 2 + b 2 − 2ab
  • a 2 − b 2 = (a − b) (a + b)
  • (x + a) (x + b) = x 2 + (a + b) x + ab
  • (a + b + c) 2 = a 2 + b 2 + c 2  + 2ab + 2bc + 2ca
  • (a + (−b) + (−c)) 2 = a 2 + (−b) 2  + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c) 

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


Cube Formulas

  • (a + b) 3 = a 3 + b 3 + 3ab(a + b)
  • (a − b) 3 = a 3 - b 3 - 3ab(a - b)
  • a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
  • a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
  • (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
  • a 3 + b 3 + c − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)

Power n Formula

  • a n − b n = (a − b) (a n−1 + a n−2  b 1  + a n−3  b 2 + .... + a b n−2  + b n−1  )

 


Exponent Law

Exponent law.jpg

  • √a = a 1/2

  • ∛a = a 1/3

  • n √a = a 1/n

  • a p.  a q = a p + q
  • a p / a q  = a p - q
  • a p.  b p = (ab) p
  • (a p ) q.  = a pq
  • a 0 .  = 1
  • a –n.  = 1/a n

 


For Irrational Numbers

Irrational numbers formula - Algebra Formulas - teachoo.jpg


Quadratic Formula

 

QUADRATIC FORMULA.jpg

  1. Chapter 1 Class 10 Real Numbers
  2. Concept wise

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.