$$\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)$$       simplifies to = ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{Given expression,}} \cr & \left( {\frac{{{a^3} + {b^3}}}{{{a^2} + {b^2} - ab}}} \right){\text{ = }}\left( {a + b} \right) \cr & \left[ {{\text{where}}\,a = 785,b = 345} \right] \cr & = 785 + 345 = 1220 \cr} $$