Maths Algebra Formula – बीजगणित सूत्र

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Algebra Formulas
Algebra Formulas

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 Mynotesadda 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.

There are around 20-25 questions in each Government Exams related to GK Questions in Hindi and you can solve 18-20 questions out of them very easily by reading these Notes of Maths Algebra Formula. The complete PDF of Maths Algebra सूत्र is attached below for your reference, which you can download by clicking at the Download Button.

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Maths Algebra Formula – बीजगणित सूत्र

  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

1. 1043 को किसी संख्या से भाग देने पर भागफल 11 तथा शेषफल 20 प्राप्त होता है, भाजक ज्ञात कीजिए ?

  • (A) 95
  • (B) 93
  • (C) 73
  • (D) 97
 B 

2. किसी संख्या को 195 से भाग देने पर 47 शेष बचते हैं, इस संख्या को 15 से भाग देने पर शेष क्या बचेगा ?

  • (A) 5
  • (B) 4
  • (C) 3
  • (D) 2
 D 

3. 8765 * 974 – 8765 * 874 = ?

  • (A) 870500
  • (B) 876500
  • (C) 870000
  • (D) 877700
 B 

4. 1994 * 1994 = ?

  • (A) 3776036
  • (B) 3976036
  • (C) 3976037
  • (D) 3976000
 B 

5. 883 * 883 – 117 * 117 = ?

  • (A) 767000
  • (B) 766006
  • (C) 766000
  • (D) 866000
 C 

 

6. एक पुस्तक का क्रयमूल्य ₹110 तथा विक्रयमूल्य ₹123.20 है। इसे बेचने पर पुस्तक विक्रेता को कितने प्रतिशत लाभ होगा ?

  • (A) 11%
  • (B) 12%
  • (C) 13%
  • (D) 14%
Answer:(B)

7. एक कुर्सी को ₹873 में बेचने से व्रिकेता को 10% हानि होती है, कुर्सी का क्रय-मूल्य कितना है ?

  • (A) ₹970
  • (B) ₹900
  • (C) ₹950
  • (D) ₹980
Answer:(A)

8. यदि किसी वस्तु को 5% हानि की अपेक्षा 10% लाभ पर बेचा जाता तो विक्रेता को ₹75 अधिक मिलते। वस्तु का क्रयमूल्य कितना है ?

  • (A) ₹550
  • (B) ₹500
  • (C) ₹530
  • (D) ₹520
Answer:(B)

9. रमेश ने एक गाय ₹8580 में बेचकर 4% लाभ कमाया, उसने यह गाय कितने रूपये में खरीदी ?

  • (A) ₹8270
  • (B) ₹8250
  • (C) ₹8650
  • (D) ₹9250
Answer:(B)

10. एक फल विक्रेता ने ₹15 के 6 की दर से केले खरीद कर ₹12 के 4 की दर से बेच दिए, उसका लाभ अथवा हानि प्रतिशत ज्ञात कीजिये।

  • (A) 17%
  • (B) 19%
  • (C) 20%
  • (D) 22%
Answer:(C)


download PDF:- Maths Algebra Formula

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Maths Notes CLICK HERE
English Notes CLICK HERE
Reasoning Notes CLICK HERE
Indian Polity Notes CLICK HERE
General Knowledge CLICK HERE
General Science Notes
CLICK HERE

 

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