\(\frac{2006\times2005-1}{2004\times2006+2005}=\frac{2006\times\left(2004+1\right)-1}{2004\times2006+2005}=\frac{2006\times2004+2006\times1-1}{2004\times2006+2005}=\frac{2006\times2004+2005}{2006\times2004+2005}=1\)
\(\frac{2006\times2005-1}{2004\times2006+2005}=\frac{2006\times\left(2004+1\right)-1}{2004\times2006+2005}=\frac{2004\times2006+2006\times1-1}{2004\times2006+2005}\)
\(=\frac{2004\times2006+2005}{2004\times2006+2005}=1\)
\(\frac{2006x2005-1}{2004x2006+2005}\)
\(=\frac{2006x\left(2004+1\right)-1}{2004x2006+2005}\)
\(=\frac{2006x2004+2006-1}{2004x2006+2005}\)
\(=\frac{2006x2004+2005}{2004x2006+2005}\)
\(=1\)