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
- (an – bn )= (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)
- (an + bn)= (a + b)(an-1 – an-2b +…+ bn-2a – bn-1) [ where n is even , (n = k + 1) ]
- (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
- √ab = √a √b
- √a/b =√a / √b
- ( √a +√b ) ( √a – √b ) = a-b
- ( √a +√b )²= a + 2 √ab + b
- ( a +√b )( a -√b )= a² – b
Algebra Formula: Quadratic Equation
- (α, β) = [-b ± √(b2 – 4ac)]/2a
- (a + b)³ = a³+ 3a²b + 3ab²+ b³
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a – b)³= a³ – 3a²b + 3ab² – b³
- (a – b)³= a³ – b³ – 3ab(a – b)
- a³ – b³ = (a – b)(a²+ ab + b²)
- a³ + b³ = (a + b)(a²– ab + b²)
- (a + b)⁴= a⁴+ 4a³b + 6a²b² + 4ab³ + b²
- (a – b)⁴= a4 – 4a³b + 6a²b² – 4ab³+ b⁴
- a⁴ – b⁴= (a – b)(a + b)(a² + b²)
- a⁵ – b⁵= (a – b)(a⁴ + a³b + a²b² + ab³+ b⁴)
Laws of Exponents
- (am)(an) = am+n ; (ab)m = ambm ; (am)n = amn
Important Algebra Formulas for SSC CGL 2022
- a² – b² = (a-b)(a+b)
- (a+b)² = a² + 2ab + b²
- (a-b)² = a² – 2ab + b²
- a² + b² = (a-b)² +2ab
- (a+b+c)² = a²+b²+c²+2ab+2ac+2bc
- (a-b-c)² = a²+b²+c²-2ab-2ac+2bc
- a³-b³ = (a-b) (a² + ab + b²)
- a³+b³ = (a+b) (a² – ab + b²)
- (a+b)³ = a³+ 3a²b + 3ab² + b³
- (a-b)³ = a³- 3a²b + 3ab² – b³
- “n” is a natural number, and – bn = (a-b) (an-1 + an-2b +….bn-2a + bn-1)
- “n” is an even number, an + bn = (a+b) (an-1 – an-2b +….+ bn-2a – bn-1)
- “n” is an odd number an + bn = (a-b) (an-1 – an-2b +…. – bn-2a + bn-1)
- (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 ?
- 175 (Answer)
If a + b + c = 6, a2 + b2 + c2 = 32, and a3 + b3 + c3 = 189, then the value of 4abc is:
- 12 (Answer)
If (x + y)3 – (x – y)3 – 3y(2x2 – 3y2) = ky3, then find the value of k.
- 11 (Answer)
If a + b – c = 5 and ab – bc – ac = 10, then find the value of a2 + b2 + c2.
- 5 (Answer)
If a2 + b2 + 49c2 + 18 = 2(b + 28c – a), then the value of (2a – b + 7c) is:
If x+y+z=2, xy+yz+zx =-11, and xyz =-12, then what is the value of x³ + y3 + z³?
- 38 (Answer)
If 2√2x³ - 3√3y³ = (√2x - √3y) (Ax² - Bxy + Cy2), then the value of (A²+ B²+ C²) is:
- 19 (Answer)
If x + y + 3 = 0, then find the value of x³ + y³ – 9xy + 9
- –18 (Answer)
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.
These are enough Algebra Formulas for SSC that you need to know to crack all the competitive exams.
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