Evaluate : $${{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|} \over {18 - 9 \div 3 \times 5}}$$

Solution (By Examveda Team)

$$\eqalign{ & \frac{{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|}}{{18 - 9 \div 3 \times 5}} \cr & = \frac{{ - {{\left( { - 2} \right)}^2} - \left( { - 6} \right) + 6}}{{18 - 3 \times 5}} \cr & = \frac{{ - 4 + 6 + 6}}{{18 - 15}} \cr & = \frac{8}{3} \cr} $$