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This question belongs to Arithmetic Ability Simplification
Simplification
?

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

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