\left| \begin{array} { l l l } { x ^ { n } } & { x ^ { n + 2 } } & { x ^ { n + 3 } } \\ { y ^ { n } } & { y ^ { n + 2 } } & { y ^ { n + 3 } } \\ { z ^ { n } } & { z ^ { n + 2 } } & { z ^ { n + 3 } } \end{array} \right| = ( x - y )
Evaluate
x^{n}y^{n+2}z^{n+3}-x^{n}y^{n+3}z^{n+2}+y^{n}x^{n+3}z^{n+2}-y^{n}x^{n+2}z^{n+3}+z^{n}x^{n+2}y^{n+3}-z^{n}x^{n+3}y^{n+2}=x-y
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