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Maths Algebra Formula – बीजगणित सूत्र

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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 – बीजगणित सूत्र, so Maths Algebra Formula – बीजगणित सूत्र is important in all exams. In Our Mynotesadda Website providing you an Important PDF of Maths Algebra Formula – बीजगणित सूत्र which is helpful for students who preparing for all such competitive exams. Common questions are placed in Maths Algebra Formula – बीजगणित सूत्र 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.

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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  )

 

 


Maths Algebra Formula PDF RELATED  TOPICS


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 MORE PDF

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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