Find the value of $\left(\frac{75983 \times 75983-45983 \times 45983}{30000}\right)$.
Answer
Answer (as printed):
Explanation
Given expression $=\frac{(75983)^{2}-(45983)^{2}}{(75983-45983)}=\frac{a^{2}-b^{2}}{a-b}$, where $a=75983, b=45983$ $=\frac{(a+b)(a-b)}{(a-b)}=(a+b)=(75983+45983)=121966$.
Explanation as extracted from the printed page; notation may be imperfect.