Previous Year Algebra Questions For SSC CGL and CHSL Download

Previous Year Algebra Questions For SSC CGL and CHSL Download 

Previous Year Algebra Questions For SSC CGL and CHSL Download

 


Important Formulas in Algebra

Here is a list of Algebraic formulas
  • 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 + 2ac + 2bc
  • (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3
  • 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
  • (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
  • (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)
  • If n is a natural number, an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)
  • If n is even (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
  • If n is 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 + ….
  • Laws of Exponents (am)(an) = am+n (ab)m = ambm (am)n = amn
  • Fractional Exponents a0 = 1 aman=amn am = 1am am = 1am
  • Roots of Quadratic Equation

    • For a quadratic equation ax2 + bx + c where a ≠ 0, the roots will be given by the equation as b±b24ac2a
    • Δ = b2 − 4ac is called the discrimination.
    • For real and distinct roots, Δ > 0
    • For real and coincident roots, Δ = 0
    • For non-real roots, Δ < 0
    • If α and β are the two roots of the equation ax2 + bx + c then, α + β = (-b / a) and α × β = (c / a).
    • If the roots of a quadratic equation are α and β, the equation will be (x − α)(x − β) = 0
  • Factorials

    • n! = (1).(2).(3)…..(n − 1).n
    • n! = n(n − 1)! = n(n − 1)(n − 2)! = ….
    • 0! = 1
    • (a+b)n=an+nan1b+n(n1)2!an2b2+n(n1)(n2)3!an3b3+.+bn,where,n>1
Previous Year Algebra Questions For SSC CGL and CHSL Download Previous Year Algebra Questions For SSC CGL and CHSL Download Reviewed by sscradar on July 09, 2019 Rating: 5

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