I think you need to use binomial theorem

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

Guest Apr 20, 2023

#1**0 **

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!

gb1falcon Apr 20, 2023