the Gauss-Jordan algorithm requires how many multiplications/divisions and add/subtractions

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I am trying to show this following result.

The Gauss-Jordan algorithm requires $\frac{n^3}{2}+n^2-\frac{n}{2}$ multiplications/divisions and requires $\frac{n^3}{2}-\frac{n}{2}$ additions/subtractions. I'm not sure exactly how to start to show this. Does anyone have any suggestions? Thank you