t=2009x2010+2000/2011x2010-2020
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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 !!!
\(t=\frac{2009.2010+2000}{2011.2010-2020}\)
\(t=\frac{2009.2010+2000}{\left(2009+2\right).2010-2020}\)
\(t=\frac{2009.2010+2000}{2009.2010+2.2010-2020}\)
\(t=\frac{2009.2010+2000}{2009.2010+2000}=1\)
\(q=\frac{\text{2014.2015+2010}}{2016.2015-2020}\)
\(q=\frac{\text{2014.2015+2010}}{\left(2014+2\right).2015-2020}\)
\(q=\frac{\text{2014.2015+2010}}{2014.2015+2.2015-2020}\)
\(q=\frac{\text{2014.2015+2010}}{\text{2014.2015+2010}}=1\)
\(A=\frac{2009x2010+2000}{2011x2010-2020}=\frac{2009x2010+2000}{2009x2010+2x2010-2020}=\frac{2009x2010+2000}{2009x2010+4020-2020}=\frac{2000}{4020-2020}=\frac{2000}{2000}=1\)
Nhấn đúng cho mk nha!!!!!!!!!!
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
\(=\frac{\left(2009-1\right)\cdot2009+2000}{2009\cdot\left(2009+1\right)-2018}=\frac{2009^2-9}{2009^2-9}=1\\ \)
\(\frac{2009.2011-1}{2011.2010-2012}=\frac{2009.2011-1}{2011.\left(2009+1\right)-2012}\)
\(=\frac{2009.2011-1}{2011.2009+2011-2012}\)
\(=\frac{2009.2011-1}{2009.2011-1}\)
\(=1\)
\(\frac{2009.2011-1}{2011.2010-2012}=\frac{2009.2011-1}{2011.2009-2011-2012}=\frac{2009.2011-1}{2011.2009-1}=1\)
\(\text{ta có : }A=\frac{2009.2010-1}{2009.2010}=\frac{2009.2010}{2009.2010}-\frac{1}{2009.2010}=1-\frac{1}{2009.2010}\)
\(B=\frac{2010.2011-1}{2010.2011}=\frac{2010.2011}{2010.2011}-\frac{1}{2010.2011}=1-\frac{1}{2010.2011}\)
\(\text{Vì }2009.2010<2010.2011\text{ nên }\frac{1}{2009.2010}>\frac{1}{2010.2011}\)
Hay A<B
Lời giải:
$t=\frac{2009\times 2010+2000}{2011\times 2010-2020}$
$=\frac{2010\times (2011-2)+2000}{2011\times 2010-2020}$
$=\frac{2010\times 2011-2\times 2010+2000}{2011\times 2010-2020}$
$=\frac{2010\times 2011-2020}{2011\times 2010-2020}=1$