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( 35 x 18 - 9 x 70 ) x 2010 x 2011 x 2012 x ... x 2020
= 0 x 2010 x 2011 x 2012 x ... x 2020
= 0 nha !
35 x 18 - 9 x 70 + 100
= 35 x 2 x 9 - 9 x 70 + 100
= 70 x 9 - 9 x 70 + 100
= 0 + 100
= 100
a,
104,4 . x -14,1 . x + 9,6 . x =25
x(104,4 - 14,1 + 9,6 ) = 25
x.99,9 = 25
x = \(\frac{250}{999}\)
b)
\(\frac{2009.2010+2000}{2011.2010-2020}=\frac{2009.2010+2000}{\left(2009+2\right).2010-2020}\)
\(=\frac{2009.2010+2000}{2009.2010+2.2010-2020}\)
\(=\frac{2009.2010+2000}{2009.2010+4020-2020}\)
\(=\frac{2009.2010+2000}{2009.2010+2000}\)
\(=1\)
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
\(\left(1-\dfrac{1}{35}\right)\times\left(1-\dfrac{1}{36}\right)\times..\times\left(1-\dfrac{1}{2011}\right)\)
=\(\dfrac{34}{35}\times\dfrac{35}{36}\times\dfrac{36}{37}\times...\times\dfrac{2010}{2011}\)
=\(\dfrac{34}{2011}\)
\(\left(1+\dfrac{1}{2010}\right)\times\left(1+\dfrac{1}{2011}\right)\times...\times\left(1+\dfrac{1}{2020}\right)\)
=\(\dfrac{2011}{2010}\times\dfrac{2012}{2011}\times...\times\dfrac{2021}{2020}\)
=\(\dfrac{2021}{2010}\)
Kết quả là:0
( 35 x 18 - 9 x 70 ) x 2010 x 2011 x ... x 2020
= (35 x 18 - 9 x 35 x 2) x 2010 x 2011 x ... x 2020
= ( 35 x 18 - 18 x 35 ) x 2010 x 2011 x ... x 2020
= 35 x (18 - 18 ) x 2010 x 2011 x ... x 2020
= 35 x 0 x 2010 x 2011 x ... x 2020
= 0 x 2010 x 2011 x ... x 2020
= 0