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

 May 26, 2023
 #1
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The coefficient of y^4 is 126.

 May 27, 2023
 #2
avatar+14834 
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The coefficient of y^4 is 375.

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

laugh  !

 May 27, 2023
 #3
avatar+35 
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I recamend Symbol Lab. Type it in then find what you're looking 4

https://www.symbolab.com

 May 28, 2023

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