100+ Math Tricks PDF In Hindi Free PDF Download

One Liner 100+ Math Tricks PDF In Hindi Free PDF Download

1. 1. a2 – b2 = (a – b)(a + b)
   2. (a+b)2 = a2 + 2ab + b2
   3. a2 + b2 = (a – b)2 + 2ab
   4. (a – b)2 = a2 – 2ab + b2
   5. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
   6. (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
   7. (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
   8. (a – b)3 = a3 – 3a2b + 3ab2 – b3
   9. a3 – b3 = (a – b)(a2 + ab + b2)
   10. a3 + b3 = (a + b)(a2 – ab + b2)
   11. (a + b)3 = a3 + 3a2b + 3ab2 + b3
   12. (a – b)3 = a3 – 3a2b + 3ab2 – b3
   13. (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
   14. (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
   15. a4 – b4 = (a – b)(a + b)(a2 + b2)
   16. a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

1. 1. • प्राकृतिक संख्या (Natural Numbers) – an – bn = (a – b)(an-1 + an-2 +…+ bn-2a + bn-1)
      • सम संख्या (Even) –  (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
      • विषम संख्या (Odd) – (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)
      • (a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + …

घातांक के नियम (Low Of Formula Exponents)

1. 1. 1. (am)(an) = am+n
      2. (ab)m = ambm
      3. (am)n = amn

(आंशिक घातांक) Fractional Exponents

Exponent Law

1. 1. 1. √a = a 1/2
      2. ∛a = a 1/3
      3. n √a = a 1/n
      4. a p.  a q = a p + q
      5. a p / a q  = a p – q
      6. a p.  b p = (ab) p
      7. (a p ) q.  = a pq
      8. a 0 .  = 1
      9. a –n.  = 1/a n

Important Algebra Formulas

Square Formulas

1. 1. 1. (a + b) 2 = a 2 + b 2 + 2ab
      2. (a − b) 2 = a 2 + b 2 − 2ab
      3. a 2 − b 2 = (a − b) (a + b)
      4. (x + a) (x + b) = x 2 + (a + b) x + ab
      5. (a + b + c) 2 = a 2 + b 2 + c 2  + 2ab + 2bc + 2ca
      6. (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

1. 1. 1. (a + b) 3 = a 3 + b 3 + 3ab(a + b)
      2. (a − b) 3 = a 3 – b 3 – 3ab(a – b)
      3. a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
      4. a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
      5. (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
      6. a 3 + b 3 + c 3  − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)

Power n Formula

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

Type Of Questions Comes in the Exams