Binomial Coefficients

Algebra Level 2

What is the sum of the coefficients of the binomial expansion ( 3 x + 2 y ) 4 { (3x+2y })^{ 4 } ?


The answer is 625.

Dominick Hing by Dominick Hing , 23, USA

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1 solution

Dominick Hing
Oct 3, 2014

The sum of the coefficents when there is a binomial, trinomial, etc. squared is the sum of the coefficents within the parenthesis raised to the exponent on that quantity.

( 3 + 2 ) 4 = 5 4 = 625 { (3+2) }^{ 4 }\quad =\quad { 5 }^{ 4 }=625

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