Maths Algebra Formula – बीजगणित सूत्र

634
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 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.

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.

Gktrick.in will update many more new pdfs and study materials and exam updates, keep Visiting and share our post, So more people will get this.

DOWNLOAD MORE PDF

Maths NotesCLICK HERE
English NotesCLICK HERE
Reasoning NotesCLICK HERE
Indian Polity NotesCLICK HERE
General KnowledgeCLICK HERE
General Science Notes
CLICK HERE

 

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

GK Notes PDF

General Science Notes PDF

Math Notes PDF

English Notes PDF 

This post is dedicated to downloading our WEBSITE  Gktrick.in for free PDFs, which are the latest exam pattern-based pdfs for RRB JE, SSC CGL, SSC CHSL, RRB NTPC, etc. it helps in performing your all-rounder performance in the exam. Thank You

Here you can also check and follow our Facebook Page (pdf exam) and our Facebook Group. Please share, comment, and like Our posts on Facebook! Thanks to Visit our Website and keep Follow our Site to know our New Updates which are Useful for Your future Competitive Exams.

Please Support us By Joining the Below Groups And Like Our Pages We Will be very thankful to you.

Facebook Page: https://www.facebook.com/PDFexamcom-2295063970774407/

Tags :-बीजगणित के सूत्र PDF,Algebra Formulas PDF,बीजगणित सूत्र पर आधारित प्रश्न,बीजगणित के सूत्र in English,रेखा गणित के सूत्र,अलजेब्रा फार्मूला चार्ट PDF,बीजीय सूत्र (a+b) 2 का सही सूत्र है।,सभी सूत्र