Question

2005 * 2006 -1

________________

2006 * 2004 + 2005

Answer 1

\(\frac{2005.2006-1}{2006.2004+2005}\)

\(=\frac{2004.2006+2006-1}{2006.2004+2005}\)

\(=\frac{2004.2006+2005}{2006.2004+2005}\)

\(=1\)

Answer 2

\(\frac{2005.2006-1}{2006.2004+2005}=\frac{\left(2004+1\right).2006-1}{2006.2004+2005}\)

                                    \(=\frac{2004.2006+\left(2006-1\right)}{2006.2004+2005}\)

                                      \(=\frac{2004.2006+2005}{2006.2004+2005}=1\)