$\tan{\alpha}$ and $\tan{\beta}$ are the roots of the equation ${x}^{2}+ax+b=0$ then the value of $\sin ^{ 2 }{ \left( \alpha +\beta \right) } +a\sin { \left( \alpha +\beta \right) } \cos { \left( \alpha +\beta \right) } +b\cos ^{ 2 }{ \left( \alpha +\beta \right) } $ is equal to

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