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Square Formulas

Formulas Involving Square - Algebra Formulas - Teachoo.jpg

  • (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

Algebra Formulas - Part 2

  • (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)
  • If (a + b + c) = 0,
    a 3 + b 3 + c 3 = 3abc

Algebra Formulas - Part 3


Some not so Common Formulas

Algebra Formulas - Part 4


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

Algebra Formulas - Part 5

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  • √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

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For Irrational Numbers

Algebra Formulas - Part 6


Quadratic Formula

 

Algebra Formulas - Part 7

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.