Question

2006 × 2005  - 1 /  2004 × 2006 + 2005

Answer 1

\(\frac{2006\times2005-1}{2004\times2006+2005}\)

\(=\frac{2004\times2006+2006-1}{2004\times2006+2005}\)

\(=\frac{2004\times2006+2005}{2004\times2006+2005}\)

\(=1\)

Answer 2

\(=\frac{2006\cdot2005-1}{2005\cdot2006-2006\cdot1+2005}\)

\(=\frac{2006\cdot2005-1}{2005\cdot2006-2006-2005}\)

\(=\frac{2006\cdot2005-1}{2005\cdot2006-1}\)

\(\Rightarrow1\)

Answer 3

2006 × 2005 - 1/2004 × 2006 + 2005

= 2006 × 2004 + 2006 - 1/2004 × 2006 + 2005

= 2006 × 2004 + (2006 - 1)/2004 × 2006 + 2005

= 2006 × 2004 + 2005/2004 × 2006 + 2005

= 1