SCARY BUT EASY

Algebra Level 5

If

\(\Delta=\huge{\left| \begin{matrix} \frac { 1 }{ z } & \frac { 1 }{ z } & \frac { -(x+y) }{ { z }^{ 2 } } \\ \frac { -(y+z) }{ { x }^{ 2 } } & \frac { 1 }{ x } & \frac { 1 }{ x } \\ \frac { -y(y+z) }{ { x }^{ 2 }z } & \frac { (x+2y+z) }{ xz } & \frac { -y(x+y) }{ x{ z }^{ 2 } } \end{matrix} \right| }\)

then \(\Delta\) is

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