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

 Jun 25, 2023
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Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.   

 

That's way too much multiplication to try to do manually.  

 

Fortunately, a useful tool has been provided for us, at   

https://www.symbolab.com/solver/expand-calculator

 

Per the "expand" tool on that page, the coefficient of y4 is 375.   

But don't take my word for it, go there and check it for yourself.  :-)  

 

Is it considered cheating, to use a tool to avoid the drudgery of endless     

multiplications?  I don't consider it cheating to use any tool that has been  

made available.  The abacus, the slide rule, the calculator, the computer.      

.

 Jul 12, 2023

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