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Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.

 Jun 2, 2024
 #1
avatar+806 
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Well, I don't reccomend it, but I used a calculator because I'm too lazy. 

 

\(729y^{12}+2916y^{11}-2430y^{10}-19980y^9+135y^8+59976y^7+6364y^6-99960y^5+375y^4+92500y^3-18750y^2-37500y+15625\)

 

As you can see, the coefficient for y^4 is 375. 

 

Thanks! :)

 Jun 2, 2024

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