The simplification of $$\left( {\frac{{75983 \times 75983 - 45983 \times 45983}}{{30000}}} \right)$$       yields the result = ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{Given expression,}} \cr & \,\,\,\,\,\frac{{{{\left( {75983} \right)}^2} - {{\left( {45983} \right)}^2}}}{{75983 - 45983}} \cr & = \frac{{\left( {75983 - 45983} \right)\left( {75983 + 45983} \right)}}{{(75983 - 45983)}} \cr & = \,75983 + 45983 \cr & = 121966 \cr} $$