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What's the coefficient of xy in the expansion of (3x + 3y + 3)^3?

 Aug 10, 2024
 #1
avatar+1908 
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Applying the binomial formula and distributing everything out (I have no life), we get

\(27x^{3}+81x^{2}y+81xy^{2}+27y^{3}+81x^{2}+162xy+81y^{2}+81x+81y+27 \)

 

As shown, 162 is the coefficient. 

 

Thanks! :)

 Aug 10, 2024
edited by NotThatSmart  Aug 10, 2024

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