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Question Number 30540 by tawa tawa last updated on 23/Feb/18

$$\mathrm{Show}\mathrm{that}\left|\begin{array}{c}\mathrm{bc}\mathrm{ca}\mathrm{ab}\\ \mathrm{a}\mathrm{b}\mathrm{c}\\ {\mathrm{a}}^2{\mathrm{b}}^2{\mathrm{c}}^2\end{array}\right|=(\mathrm{b}-\mathrm{a})(\mathrm{c}-\mathrm{a})(\mathrm{c}-\mathrm{b})(\mathrm{ab}+\mathrm{bc}+\mathrm{ac})$$

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