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trả lời:
A=2003*2003+2006/2002*2005+5
A=4012009+1*2005+5
A=4012009+2005+5
A=4014019
chúc bn hok tốt
\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>\frac{2001}{2001}+\frac{2002}{2002}+\frac{2003}{2003}+\frac{2004}{2004}+\frac{2005}{2005}+\frac{2006}{2006}+\frac{2007}{2007}+\frac{2008}{2008}\)
\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>1+1+1+1+1+1+1+1\)\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>8\)
\(A>8\)
(2002+1)x14+1988+2001x2002
2002x(1+503+504)
2002x14+14+1988+2001x2002
2002x1008
2002x14+2002+2001x2002
2002x1008
2002x(14+2001+1)
2002x1008
2002x2016
2002x1008
2
1
`2007/2009×2002/2005×2009/2006×2005/2007×2006/2002`
`=(2007xx2002xx2009xx2005xx2006)/(2009xx2005xx2006xx2007xx2002)`
`=(2007xx2002xx2009xx2005xx2006)/(2007xx2002xx2009xx2005xx2006)`
`=1`
\(\dfrac{2007}{2009}.\dfrac{2002}{2005}.\dfrac{2009}{2006}.\dfrac{2005}{2007}.\dfrac{2006}{2002}\\ =\left(\dfrac{2007}{2009}.\dfrac{2009}{2006}\right).\left(\dfrac{2006}{2002}.\dfrac{2002}{2005}\right).\dfrac{2005}{2007}\\ =\dfrac{2007}{2006}.\dfrac{2006}{2005}.\dfrac{2005}{2007}=1\)
\(\frac{2003\times2006-4}{2002\times2006+2002}\)
= \(\frac{2003\times2006-4}{2002\times2007}\)
= \(\frac{\left(2002+1\right)\times2006-4}{2002\times\left(2006+1\right)}\)
= \(\frac{2002\times2006+1\times2006}{2002\times2006+2002\times1}\)( bỏ bớt số 4 )
= \(\frac{2006}{2002}\)
= \(\frac{1003}{1001}\)
= \(\frac{1003-4}{1001}\)( thêm lại số 4 )
= \(\frac{999}{1001}\)
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1
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