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

 Dec 17, 2021
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The expansion of  (2x + 6)6  is:

 

6C0(2x)6(6)0  +  6C1(2x)5(6)1  +  6C2(2x)4(6)2  +  6C3(2x)3(6)3  +  6C4(2x)2(6)4  + 6C5(2x)1(6)5  + 6C6(2x)0(6)6 

 

[I've written it out completely so that you can see the pattern.]

 

The one term that you are interested in is  6C2(2x)4(6)2  whose coefficient is  6C· 24 · 62

 Dec 17, 2021

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