\[ \large \Delta = \left | \begin{array}{ccc} my + nz & mq + nr & mb + nc\\ kz - mx & kr - mp & kc - ma \\ nx + ky & np + kq & na + kb \\ \end{array} \right | = \ ? \]

Assume that \(f\) is a non-constant function in each of the variables.

**Bonus** : How can we get those addition terms in determinant.

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