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When we expand (2x+1/2-1/3)^6, what is the coefficient on the x^4 term?

 Nov 26, 2021
 #1
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(2x + 1/2 - 1/3)6  =  (2x + 1/6)6

 

The expansion is:  1·(2x)6·(1/6)0  +  6·(2x)5·(1/6)1  +  15·(2x)4·(1/6)2  + ...

 

The term of interest is:  15·(2x)4·(1/6)2 

 

Simplify this term to get the answer.

 Nov 27, 2021

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