I have an expression which I need to simplify: $$TF = K \frac{(1+z^{-1})}{(1-0.75z^{-1})(1+0.5z^{-1})}z^{-1}$$
I want to rationalize this and get an expression for the poles and zeros.
Any help or suggestions please?
2026-02-22 22:48:25.1771800505
Help with Algebra Manipulation
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we have $$\frac{1+\frac{1}{z}}{\left(1-\frac{3}{4z}\right)\left(1+\frac{1}{2z}\right)}\cdot \frac{1}{z}=\frac{z\left(1+\frac{1}{z}\right)}{z\left(z-\frac{3}{4}\right)\left(z+\frac{1}{2}\right)}=\frac{z+1}{z\left(z-\frac{3}{4}\right)\left(z+\frac{1}{2}\right)}$$