Constant term

To find the constant term in the expansion of the expression (2z - 1/√z) * 5 *(z - 1/√z)^3, we first need to expand the entire expression using the binomial theorem. Start by simplifying this equation to get a polynomial. However, we’re only interested in the constant term, so we’re looking for terms that won’t include z when multiplied together. We find these in the following multiplicands from each factor: -1/√z from (2z - 1/√z), and z^3 from (z - 1/√z)^3. When these are multiplied together, they result in a constant term.

So the answer is: $-1/\sqrt{z}$ and $z^3$