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Ta có:
T = \(\frac{2009\times2010+2000}{2011\times2010-2020}=\frac{2009\times2010+2010-10}{2010\times2010+2010-2020}=\frac{2010\times2010-10}{2010\times2010-10}=1\)
Vậy T = 1
2009×2010+2000/2011×2010-2020
=2009×2010+2000/2009×2010+2×2010-2020
=2009×2010+2000/2009×2010+4020-2020
=2000/4020-2020
=2000/2000
=1
K đúng cho mk nha !!!
![](https://rs.olm.vn/images/avt/0.png?1311)
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\(A=\frac{2009x2010+2000}{2011x2010-2020}=\frac{2009x2010+2000}{2009x2010+2x2010-2020}=\frac{2009x2010+2000}{2009x2010+4020-2020}=\frac{2000}{4020-2020}=\frac{2000}{2000}=1\)
Nhấn đúng cho mk nha!!!!!!!!!!
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2009x2010+2011x12+1998
2011x2010-2010x 2009
=2009x2010+2010x12+12+1998
2010x(2011-2009)
=2010x2009+2010x12+2010x1
2010x2
=2010x(2009+12+1)
2010x2
=2010x2022
2010x2
=2022
2
=1011
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\(=\frac{\left(2009-1\right)\cdot2009+2000}{2009\cdot\left(2009+1\right)-2018}=\frac{2009^2-9}{2009^2-9}=1\\ \)
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\(\frac{2009.2011-1}{2011.2010-2012}=\frac{2009.2011-1}{2011.\left(2009+1\right)-2012}\)
\(=\frac{2009.2011-1}{2011.2009+2011-2012}\)
\(=\frac{2009.2011-1}{2009.2011-1}\)
\(=1\)
\(\frac{2009.2011-1}{2011.2010-2012}=\frac{2009.2011-1}{2011.2009-2011-2012}=\frac{2009.2011-1}{2011.2009-1}=1\)
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\(A=2007+2008\times2009:2009\times2010-2011=2007+2008\times2010-2011\)(Vì 2009:2009=1)
A=2008+4036080-2011
A=4036077
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\(\frac{1}{A}=\frac{2008x2007+3}{2008x2007}=1+\frac{3}{2008x2007}.\)
\(\frac{1}{B}=\frac{2009x20010+3}{2009x2010}=1+\frac{3}{2009x2010}\)
\(2009x2010>2008x2007\Rightarrow\frac{3}{2009x2010}< \frac{3}{2008x2007}\Rightarrow\frac{1}{A}>\frac{1}{B}\Rightarrow A< B\)
Lời giải:
$t=\frac{2009\times 2010+2000}{2011\times 2010-2020}$
$=\frac{2010\times (2011-2)+2000}{2011\times 2010-2020}$
$=\frac{2010\times 2011-2\times 2010+2000}{2011\times 2010-2020}$
$=\frac{2010\times 2011-2020}{2011\times 2010-2020}=1$