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

 Jan 5, 2023
 #1
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\(\frac{\left(2z-1\right)^4}{\left(z\sqrt{z}+1\right)^4}\)this 

is what you get okay now for the expansion.......

\(\frac{16z^4-32z^3+24z^2-8z+1}{z^6+4z^{\frac{9}{2}}+6z^3+4z\sqrt{z}+1}\)

i agree, the numbers are huge but u have your answer. multiply it out and you will get 1 as your constant term because of the +1 in your original equation

 Jan 5, 2023

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