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\(\frac{1999\times2011-1999}{2010\times1998-2010}\)
\(=\frac{1999\times\left(2011-1\right)}{2010\times\left(1998-1\right)}\)
\(=\frac{1999\times2010}{2010\times1997}\)
\(=\frac{1999}{1997}\)
_Chúc bạn học tốt_
\(\dfrac{2012x2010+2011}{2010x2013+1}=\dfrac{4044120+2011}{4046130+1}=\dfrac{4046131}{4046131}\)\(=1\)
\(=\left(1999\times1998+1998\times1997\right)\times\left(1+\dfrac{1}{2}:1\dfrac{1}{2}-1\dfrac{1}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times\left(1+\dfrac{1}{2}:\dfrac{3}{2}-\dfrac{4}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times\left(1+\dfrac{1}{3}-\dfrac{4}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times\left(\dfrac{4}{3}-\dfrac{4}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times0\)
\(=0\)
a. 1⋅2⋅3+2⋅4⋅6+3⋅6⋅9+4⋅8⋅12
= 6+2⋅4⋅6+3⋅6⋅9+4⋅8⋅12
= 6+48+3⋅6⋅9+4⋅8⋅12
= 6+48+162+4⋅8⋅12
= 6+48+162+384
= 600
b . Ta có \(A=\frac{2010+2011}{2011+2012}=\frac{2010}{2011+2012}+\frac{2011}{2011+2012}.\)
Ta có : \(\frac{2010}{2011+2012}< \frac{2010}{2011}\) và \(\frac{2011}{2011+2012}< \frac{2011}{2012}\)
=> \(\frac{2010+2011}{2011+2012}< \frac{2010}{2011}+\frac{2011}{2012}\)
=> A < B
(1999×1998+1998+1997)×(1/1+1/2:3/2-4/3)
(1999×1998+1998+1997)×(1/1+1/2×2/3-4/3)
1999×1998+1998+1997)×(1/1+1/3-4/3)
(1999×1998+1998+1997)×(4/3-4/3)
(1999×1998+1998+1997)×0
0
1999 x 2011 - 1999
=1999 x 2011 -1999 x 1
=1999x(2011-1)
=1999 x 2010
= 4017990
2010 x 1998 - 2010
=2010 x 1998 -2010 x 1
= 2010 x ( 1998 -1 )
= 2010 x 1997
= 4013970
a)1999 x 2011 - 1999
= 4019989 - 1999
= 4017990
b)2010 x 1998 - 2010
= 4015980 - 2010
= 4013970
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