Discussion
Find the value of \(\frac{(67895 \times 67895 - 37895 \times 37895)}{30000}\).
Answer: A
The numerator is in the form \(a^2 - b^2 = (a-b)(a+b)\).
Here a = 67895 and b = 37895.
\(a-b = 67895 - 37895 = 30000\).
\(a+b = 67895 + 37895 = 105790\).
The expression becomes \(\frac{(30000)(105790)}{30000} = 105790\).
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