Maths Algebra Formula – बीजगणित सूत्र

Maths Algebra Formula – बीजगणित सूत्र

Maths Algebra Formula – बीजगणित सूत्र:- SSC CGL, BANK, RAILWAYS, RRB NTPC, LIC AAO, etc. Exams are starting after a few months. In those exams, a lot of questions are coming from Maths Algebra Formula, so बीजगणित सूत्र is important in all exams. In Our Gktrick.in Website providing you an Important PDF of Maths Algebra which is helpful for students who preparing for all such competitive exams. Common questions are placed in Algebra which has been put together in most examinations, you can download this PDF Notes very simply by clicking on the Download Button at the bottom.

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)

 

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

(आंशिक घातांक) Fractional Exponents

Exponent Law

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. (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. (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. 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