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


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Given:
(a + b)6 = 6C0a6 + 6C1a5b + 6C2a4b2 + 6C3a3b3 + 6C4a2b4 + 6C5ab5 + 6C6b6
 
Expand:
(2x + 4)6
 
Section 1: First, substitute values for coefficients, the a-value, and the b-value.
(2x + 4)6 =
  1st term:(x)6
  2nd term:(x)5()
  3rd term:(x)4()2
  4th term:(x)3()3
  5th term:(x)2()4
  6th term:(x)()5
  7th term:()6
 
Section 2: Next, write the correct final coefficients.
(2x + 4)6 =
x6 + x5 + x4 + x3 + x2 + x +