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I think you need to use binomial theorem

 

Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.

 Apr 20, 2023
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Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.

 

Even though this expression looks like a monster, the constant term simplifies to one.

Because 1/(z*sqrt(z))=1/(z^(3/2)=z^(2/3), the fraction cannot simplify in only the fourth power. Therefore, the only constant term is 1*1*1*1, which is 1.

I hope this helps!

 Apr 20, 2023

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