Binomial Theorem: Expansion
Lessons Page | MATHguide Homepage Updated April 21st, 2016


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Given:
(a + b)5 = 5C0a5 + 5C1a4b + 5C2a3b2 + 5C3a2b3 + 5C4ab4 + 5C5b5
 
Expand:
(5x - 1)5
 
Section 1: First, substitute values for coefficients, the a-value, and the b-value.
(5x - 1)5 =
  1st term:(x)5
  2nd term:(x)4()
  3rd term:(x)3()2
  4th term:(x)2()3
  5th term:(x)()4
  6th term:()5
 
Section 2: Next, write the correct final coefficients.
(5x - 1)5 =
x5 + x4 + x3 + x2 + x +