Question

\((\frac{1999}{2011} - \frac{2011}{1999}) - (\frac{-12}{1999} - \frac{12}{2011}) \)

Answer 1

\(\left(\frac{1999}{2011}-\frac{2011}{1999}\right)-\left(\frac{-12}{1999}-\frac{12}{2011}\right)\)

\(=\frac{1999}{2011}-\frac{2011}{1999}+\frac{12}{1999}+\frac{12}{2011}\)

\(=\frac{2011}{2011}-\frac{1999}{1999}\)

\(=1-1=0\)

Answer 2

\(\left(\frac{1999}{2011}-\frac{2011}{1999}\right)-\left(\frac{-12}{1999}-\frac{12}{2011}\right)\)

\(=\frac{1999}{2011}-\frac{2011}{1999}+\frac{12}{1999}+\frac{12}{2011}\)

\(=\frac{2011}{2011}-\frac{1999}{1999}\)

\(=1-1=0\)