# collinearity

Algebra Level 4

if $$\alpha ,\beta ,\gamma ,\delta$$ are distinct and different from 2 and the points$$\left( \frac { { \alpha }^{ 4 } }{ \alpha -2 } ,\frac { { \alpha }^{ 3 }-5 }{ \alpha -2 } \right) ,\quad \left( \frac { { \beta }^{ 4 } }{ \beta -2 } ,\frac { { \beta }^{ 3 }-5 }{ \beta -2 } \right) ,\quad \left( \frac { { \gamma }^{ 4 } }{ \gamma -2 } ,\frac { { \gamma }^{ 3 }-5 }{ \gamma -2 } \right) ,\quad \left( \frac { { \delta }^{ 4 } }{ \delta -2 } ,\frac { { \delta }^{ 3 }-5 }{ \delta -2 } \right)$$ are collinear

then $$\alpha \beta \gamma \delta$$ =

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