Binomial Theorem: Expansion
View the Lesson | MATHguide Homepage Updated May 4th, 2017


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Given:
(a + b)4 = 4C0a4 + 4C1a3b + 4C2a2b2 + 4C3ab3 + 4C4b4
 
Expand:
(2x - 3)4
 
Section 1: First, substitute values for coefficients, the a-value, and the b-value.
(2x - 3)4 =
  1st term:(x)4
  2nd term:(x)3()
  3rd term:(x)2()2
  4th term:(x)()3
  5th term:()4
 
Section 2: Next, write the correct final coefficients.
(2x - 3)4 =
x4 + x3 + x2 + x +