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

 Jun 23, 2023
 #1
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The coefficient of y^4 is 20.

 Jun 23, 2023
 #2
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Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.

 

That is way too much multiplication to do by hand.  

 

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.  

 

Would it be cheating, to use that website to avoid the drudgery of endless   

multiplications?  I do not consider it cheating to use any tool that has been  

made available.  It used to be slide rules, then calculators, now computers.   

.

 Jun 24, 2023

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