Algebra Formulas for SSC Exam: Download Formula PDF for SSC CGL 2022

By PARUL RISHI|Updated : September 6th, 2022

Algebra Formulas for SSC Exams: The mathematical study of number theory, geometry, and analysis is known as Algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols. Algebra Formula covers a wide range of topics, from studying abstractions to solving simple equations.

All competitive exams use the algebra formula to solve the most topics possible, including multiplication, division, subtraction, and addition. You may find thorough information on the algebra formulas for SSC CGL 2022 exam like algebraic identities, algebraic expressions etc. Candidates will also find the important Algebra Questions for SSC CGL 2022 along with the Algebra formula PDF.

For further details read the entire article! 

Table of Content

Algebra is a set of symbols made up of both letters and numbers that may be used to calculate any unknown value. An algebraic equation or expression is created by combining the usage of numbers, characters, matrices, and vectors. In the algebraic expression, there are numbers with known values and letters with unknown values. Algebra formulas for SSC are utilised instead of numbers and letters to find the values of unknowable quantities.

For all of the exams, the chapter on algebra is crucial. The candidates who had difficulties with the Algebra section can find assistance in this article. Here, we'll go through a list of key crucial algebraic formulae for SSC CGL 2022 that make it easier for students to study for exams.

Algebra Formula for SSC

The Staff Selection Commission conducts various exams, and all the exams comprise of algebra questions. Therefore, you must know the Algebra Formula for SSC to crack any competitive exams with much ease!

Algebra Formulas for SSC CGL 2022

Below we have provided you all with the important Algebra formulas for SSC CGL 2022 under various categories. Go through these formulas and memorise them, we are sure that these formulas will surely help you in the upcoming SSC CGL 2022 Examination.

Algebra Formula: Natural Number

  1. (an – bn )= (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)
  2. (an + bn)= (a + b)(an-1 – an-2b +…+ bn-2a – bn-1) [ where n is even  , (n = k + 1)  ]
  3. (an + bn )= (a + b)(an-1 – an-2b +an-3b2…- bn-2a + bn-1) [ where n is odd , (n = 2k + 1)  ]

Algebra Formula: Irrational  Number

  1. √ab = √a √b
  2. √a/b =√a / √b
  3. ( √a +√b )  ( √a – √b ) = a-b
  4. ( √a +√b )²= a + 2 √ab + b
  5. ( a +√b )( a -√b )= a² – b

Algebra Formula: Quadratic Equation

  1. (α, β) = [-b ± √(b2 – 4ac)]/2a

Algebra Formula

  1.  (a + b)³ = a³+ 3a²b + 3ab²+ b³
  2.  (a + b)³ = a³ + b³ + 3ab(a + b)
  3.  (a – b)³= a³ – 3a²b + 3ab² – b³
  4.  (a – b)³= a³ – b³ – 3ab(a – b)
  5.  a³ – b³ = (a – b)(a²+ ab + b²)
  6.  a³ + b³ = (a + b)(a²– ab + b²)
  7. (a + b)⁴= a⁴+ 4a³b + 6a²b² + 4ab³ + b²
  8. (a – b)⁴= a4 – 4a³b + 6a²b² – 4ab³+ b⁴
  9. a⁴ – b⁴= (a – b)(a + b)(a² + b²)
  10. a⁵ – b⁵= (a – b)(a⁴ + a³b + a²b² + ab³+ b⁴)

Laws of Exponents 

  1. (am)(an) = am+n ; (ab)m = amb; (am)n = amn 

Important Algebra Formulas for SSC CGL 2022

  1. a² – b² = (a-b)(a+b)
  2. (a+b)² = a² + 2ab + b²
  3. (a-b)² = a² – 2ab + b²
  4. a² + b² = (a-b)² +2ab
  5. (a+b+c)² = a²+b²+c²+2ab+2ac+2bc
  6. (a-b-c)² = a²+b²+c²-2ab-2ac+2bc
  7. a³-b³ = (a-b) (a² + ab + b²)
  8. a³+b³ = (a+b) (a² – ab + b²)
  9. (a+b)³ = a³+ 3a²b + 3ab² + b³
  10. (a-b)³ = a³- 3a²b + 3ab² – b³
  11. “n” is a natural number, and – bn = (a-b) (an-1 + an-2b +….bn-2a + bn-1)
  12. “n” is an even number, an + bn = (a+b) (an-1 – an-2b +….+ bn-2a – bn-1)
  13. “n” is an odd number an + bn = (a-b) (an-1 – an-2b +…. – bn-2a + bn-1)
  14. (am)(an) = am+n (ab)m = amn

Important Algebra Questions for SSC CGL 2022

The following list includes significant and practical algebraic questions. The students who use these algebra problems will be able to ace their exam-taking and pass with flying colours. Here are some examples of Important Algebra Questions for SSC CGL 2022. 

If x + y + z = 7, xy + yz + zx = 8, then what is the value of x3 + y3 + z3 – 3xyz ?

  1. 200
  2. 150
  3. 125
  4. 175 (Answer)

If a + b + c = 6, a2  + b2  + c2 = 32, and a3  + b3  + c3  = 189, then the value of 4abc is:

  1. 12 (Answer)
  2. 16
  3. 9
  4. 8

If (x + y)3 – (x – y)3 – 3y(2x2 – 3y2) = ky3, then find the value of k.

  1. 10.5
  2. 8
  3. 11 (Answer)
  4. 10

If a + b – c = 5 and ab – bc – ac = 10, then find the value of a2 + b2 + c2.

  1. 40
  2. 5 (Answer)
  3. 45
  4. 15

If a2 + b2 + 49c2 + 18 = 2(b + 28c – a), then the value of (2a – b + 7c) is:

  1. 5
  2. –3
  3. –4
  4. 1

If x+y+z=2, xy+yz+zx =-11, and xyz =-12, then what is the value of x³ + y3 + z³?

  1. 36
  2. 38 (Answer)
  3. 40
  4. 42

If 22x³ - 33y³ = (2x - 3y) (Ax² - Bxy + Cy2), then the value of (A²+ B²+ C²) is:

  1. 16
  2. 11
  3. 19 (Answer)
  4. 18

If x + y + 3 = 0, then find the value of x³ + y³ – 9xy + 9

  1. –18 (Answer)
  2. –36
  3. 18
  4. 36

Algebra Formulas for SSC CGL 2022 PDF

Below you can check out the important Algebra Formulas for SSC CGL 2022 PDF where you all can download the PDF and save it for future revision purposes.

> Algebra Formulas for SSC CGL 2022 PDF (Click Here)

These are enough Algebra Formulas for SSC that you need to know to crack all the competitive exams.

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FAQs

  • You can find the Algebra formulas for SSC CGL 2022 in this article. All the important formulas are provided in this article where can also find the important Algebra questions for SSC CGL and Algebra Questions PDF for SSC CGL 2022.

  • Yes, candidates can find attached Algebra Formulas for SSC CGL 2022 PDF in this article. The PDF contains all the important formulas for SSC CGL 2022 exam. Candidates can download the PDF and can save it for future purposes.

  • This article contains Algebra Questions which are important from the SSC CGL 2022 exam point of view. Algebra Questions are given along with the options and correct answers. Candidates can go through these questions and practice them. These questions will be helpful for the candidates who are planning to appear for SSC CGL 2022 examination.

  • An algebraic formula is an equation and the rule written using the mathematical and the algebraic symbols. It involves algebraic expressions on both sides. The algebraic formula is the short quick formula to solve complex algebraic calculations.

  • The general formula for SSC CGL 2022 exam are given below:

    • a2 – b2 = (a – b)(a + b)
    • (a + b)2 = a2 + 2ab + b2
    • a2 + b2 = (a + b)2 – 2ab
    • (a – b)2 = a2 – 2ab + b2
    • (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
    • (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca

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