$$\frac{{768 \times 768 \times 768 + 232 \times 232 \times 232}}{{768 \times 768 - 768 \times 232 + 232 \times 232}} = ?$$

Solution (By Examveda Team)

Given expression,
$$ = \frac{{\left( {{a^3} + {b^3}} \right)}}{{\left( {{a^2} - ab + {b^2}} \right)}}$$     (where a = 768 and b = 232)
$$\eqalign{ & = \left( {a + b} \right) \cr & = \left( {768 + 232} \right) \cr & = 1000 \cr} $$