\(\dfrac{2006\times2007-8}{2005\times2007+1999}\)

= \(\dfrac{\left(2005+1\right)\times2007-8}{2005\times2007+1999}\)

= \(\dfrac{2005\times2007+2007-8}{2005\times2007+1999}\)

= \(\dfrac{2005\times2007+1999}{2005\times2007+1999}\)

= 1

?????????????????????????????????????????

\(\dfrac{2007\times2006-1}{2005\times2007+2006}\)

\(=\dfrac{2007\times2006-1}{\left(2006-1\right)\times2007+2006}\)

\(=\dfrac{2007\times2006-1}{2006\times2007-2007+2006}\)

\(=\dfrac{2007\times2006-1}{2006\times2007-\left(2007-2006\right)}\)

\(=\dfrac{2007\times2006-1}{2007\times2006-1}\)

\(=1\)

\(\dfrac{2007x2006-1}{2005x2007+2006}\)

\(=\dfrac{2007x\left(2005+1\right)-1}{2005x2007+2006}\)

\(=\dfrac{2007x2005+2007-1}{2005x2007+2006}\)

\(=\dfrac{2007x2005+2006}{2005x2007+2006}=1\)

1

\(\frac{2005\times2007-1}{2004+2005\times2006}\)

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

\(=\frac{2005\times2006+2005\times1-1}{2004+2005\times2006}\)

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

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

\(=1\)

_Chúc bạn học tốt_

= 1 

làm bằng cách nợ hay lời 1

có phải 0 ko

\(\dfrac{1}{2001.2003}+\dfrac{1}{2003.2005}+...+\dfrac{1}{2011.2013}\)

\(=\dfrac{1}{2}\left(\dfrac{2}{2001.2003}+\dfrac{1}{2003.2005}+...+\dfrac{1}{2011.2013}\right)\)

\(=\dfrac{1}{2}\left(\dfrac{1}{2001}-\dfrac{1}{2003}+\dfrac{1}{2003}-\dfrac{1}{2005}+...+\dfrac{1}{2011}-\dfrac{1}{2013}\right)\)

\(=\dfrac{1}{2}\left(\dfrac{1}{2001}-\dfrac{1}{2013}\right)=\dfrac{2}{1342671}\)

=1/2.(2/2001.2003+2/2003.2005+.....+2/2011.2013)

=1/2(1/2001-1/2003+1/2003-1/2005+....+1/2011-1/2013)

=1/2(1/2001-1/2013)

=2/1342671

C=(2005x2006+2005-1)/(2004+2005x2006)=

(2005x2006+2004)/(2004+2005x2006)=1

rồi cảm ơn tôi đã làm trước khi cậu ra đáp án

A = \(\frac{2005\times2007-1}{2004+2005\times2006}=\frac{2005\times\left(2006+1\right)-1}{2004+2005\times2006}=\frac{2005\times2006+2005-1}{2004+2005\times2006}\)

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

M=(2006-1)x(2006+1)=2006x2006-2006+2006-1=2006x2006-1

M=2006x2006-1

N=2006x2006

Vậy M<N

M=N nhé bạn