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Friday, November 13, 2020

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 + 2bc + 2ca
  • (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
  • (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 + 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)
  • an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)
  • If (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
  • If (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +an-3b2…- 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

1 comment:

  1. The Jharkhand Board has released the model question paper 2021 for JAC Class 10. The model question paper has been released as Set 1'. Students preparing for the JAC examinations must go through the entire JAC 10th Sample paper to know more Jharkhand 10th Model Paper 2021 Set 1 of JAC 10th model question paper has been released on the official website of the State Board. Jharkhand Academic Council (JAC) has reduced the JAC 10th Class syllabus for the 2021 session.

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