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Ta có : 2004 *2005 + (2004*2)+6 và 2004*2005 +2005+2009=2004*2005 + 2014 và 2004*2005+2014
Vậy 2004*2007+6=2005*2005+2009
2004x2007+6
2005x2005 +2009
2004x(2005+2)+6
(2004+1)x2005+2009
2004x2005+4008+6
2004x2005+2005+2009
2004x2005+4014
2004+2005+4014
1
2009 x 7 + 2009 x 2 + 2009
= 2009 x (7 + 2) + 2009
= 2009 x 9 + 2009
= 18081 + 2009
= 20090
hoặc : 2009 x 7 + 2009 x 2 + 2009
= 2009 x (7 + 2 + 1)
= 2009 x 10
= 20090
a) =\(\frac{1}{2\cdot3}\)+\(\frac{1}{3\cdot4}\)+....+\(\frac{1}{10\cdot11}\)=\(\frac{1}{2}\)-\(\frac{1}{11}\)=\(\frac{9}{22}\)
b)\(\frac{2008}{2009}\)=1 - \(\frac{1}{2009}\); \(\frac{2007}{2008}\)=1 - \(\frac{1}{2008}\)Do \(\frac{1}{2009}\)<\(\frac{1}{2008}\)nen 1 - \(\frac{1}{2009}\)>1 - \(\frac{1}{2008}\)
=> 2008/2009>2007/2008
Ta có: \(\frac{2004\cdot2007+6}{2005\cdot2005+2009}=\frac{\left(2005-1\right)\cdot2007+6}{2005\cdot2005+2009}=\frac{2005\cdot2007-1\cdot2007+6}{2005\cdot2005+2009}=\frac{2005\cdot2007-2007+6}{2005\cdot2005+2009}\)
\(=\frac{\text{2005 x (2005 + 2) - 2007 + 6}}{\text{2005 x 2005 + 2009}}=\frac{\text{2005 x 2005 + 2005 x 2 - 2007 + 6}}{\text{2005 x 2005 + 2009}}=\frac{\text{2005 x 2005 + 4010 - 2007 + 6}}{\text{2005 x 2005 + 2009}}=\text{ }\frac{\text{2005 x 2005 + 2009}}{\text{2005 x 2005 + 2009}}=1\)
(m+1 −m x 1 ) : 9m x 2009 +m +1)
=(m+1−m)÷(2010m+1)
=1÷(2010m+1)
=12010m+1
1
can loi giai