Friday, March 10, 2023

Basic Identities for factorization of Polynomials

  1. (x + y)2 = x2 + 2xy + y2
  2. (x - y)2 = x2 - 2xy + y2
  3. x2 - y2 = (x + y)(x - y)
  4. (x + a)(x + b) = x2 + (a+b)x + ab
  5. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
  6. (x + y)3 = x3 + y3 + 3xy(x+y)
  7. (x - y)3 = x3 - y3 - 3xy(x-y)
  8. x3 + y3 + z3 - 3xyz =  (x + y + z)( x2 + y2 + z2 - xy - yz – zx)

 
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1 comment:

  1. Shabbir Nooruddinbhai SidhpuriMarch 14, 2023 at 9:32 PM

    These are very important identities , one should remember.
    Understanding of these identities are fundamental for factorization of the polynomials.
    Needless to say solving enough number of such problems will give confidence.

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