- [ - 171 + ( 171 + 23 )] - [ 172 -( 38 + 172) ] - 49

= - [ - 171 + 171 + 23]  - [ 172 -38 - 172] - 49

= -23  - ( -38) - 49

= -23 +38 -49

= 15 - 49

= - 34

a/57x23+23x44-23

57x23+23x44-23x1

=23x(57+44-1)

=23x100

=2300

b

a) 57 . 23 + 23 . 44 - 23

= 57 . 23 + 23 . 44 - 23 . 1

= ( 57 + 44 - 1 ) . 23

= 100 . 23

= 2300

b) 1672 - [ 49 + ( 13 - 7 )³ ]

= 1672 - [ 49 + 6³ ]

= 1672 - [ 49 + 216 ]

= 1672 - 265

= 1407

c) 50 : { 2 . [ 52 - ( 3 . 5 - 2² . 3 )³ ] }

= 50 : { 2 . [ 52 - ( 3 . 5 - 4 . 3 )³ ] }

= 50 : { 2 . [ 52 - ( 3 . 1 )³ ] }

= 50 : { 2 . [ 52 - 27 ] }

= 50 : { 2 . 25 }

= 50 : 50

= 1

d) -2014 + (-999) + 14 + (-2001)

= ( -2014 + 14 ) + [ (-999) + (-2001) ]

= (-2000) + (-3000)

= -5000

Học tốt nhé bạn !

a: \(61\cdot45+61\cdot23-68\cdot51\)

\(=61\left(45+23\right)-68\cdot51\)

\(=68\cdot61-68\cdot51\)

\(=68\left(61-51\right)=68\cdot10=680\)

b: \(3\cdot5^2-\left(75-4\cdot2^3\right)\)

\(=75-75+4\cdot8\)

\(=4\cdot8=32\)

c: \(36:\left\{2^2\cdot5-\left[30-\left(5-1\right)^2\right]\right\}\)

\(=\dfrac{36}{20-30+4^2}\)

\(=\dfrac{36}{-10+16}=\dfrac{36}{6}=6\)

d: \(\left(12\cdot49-3\cdot2^2\cdot7^2\right):\left(2020\cdot2021\right)\)

\(=\dfrac{\left(12\cdot49-12\cdot49\right)}{2020\cdot2021}=0\)

a ) 1 12 + 2 3 + − 3 4 = 1 12 + 8 12 + − 9 12 = 0

b ) 1 2 − 2 5 + − 7 10 = 5 10 − 4 10 + − 7 10 = − 6 10 = − 3 5 c ) 1 2 + − 3 7 + 5 2 + − 4 7 = 1 2 + 5 2 + − 3 7 + − 4 7 = 2 d ) 9 8 − 4 7 + − 1 8 + 11 7 = 9 8 + − 1 8 + − 4 7 + 11 7 = 2 e ) 6 11 + − 2 3 + 5 11 = 6 11 + 5 11 + − 2 3 = 1 3 f ) − 1 2 + 11 4 − 11 4 − 1 2 = − 1 2 + 11 4 − 11 4 + 1 2 = 0

Bài làm

\(\frac{x+52}{21}+\frac{x+51}{22}=\frac{x+50}{23}+\frac{x+49}{24}\)

\(\Leftrightarrow\frac{x+52}{21}+\frac{x+51}{22}+2=\frac{x+50}{23}+\frac{x+49}{24}+2\)

\(\Leftrightarrow\left(\frac{x+52}{21}+1\right)+\left(\frac{x+51}{22}+1\right)=\left(\frac{x+50}{23}+1\right)+\left(\frac{x+49}{24}+1\right)\)

\(\Leftrightarrow\left(\frac{x+52}{21}+\frac{21}{21}\right)+\left(\frac{x+51}{22}+\frac{22}{22}\right)=\left(\frac{x+50}{23}+\frac{23}{23}\right)+\left(\frac{x+49}{24}+\frac{24}{24}\right)\)

\(\Leftrightarrow\frac{x+52+21}{21}+\frac{x+51+22}{22}=\frac{x+50+23}{23}+\frac{x+49+24}{24}\)

\(\Leftrightarrow\frac{x+73}{21}+\frac{x+73}{22}=\frac{x+73}{23}+\frac{x+73}{24}\)

\(\Leftrightarrow\frac{x+73}{21}+\frac{x+73}{22}-\frac{x+73}{23}-\frac{x+73}{24}=0\)

\(\Leftrightarrow\left(x+73\right)\left(\frac{1}{21}+\frac{1}{22}-\frac{1}{23}-\frac{1}{24}\right)=0\)

\(\Leftrightarrow x+73=0\)

\(\Leftrightarrow x=-73\)

Vậy x = -73

 # Học tốt #

\(\frac{x+52}{21}+\frac{x+51}{22}=\frac{x+50}{23}+\frac{x+49}{24}\)

\(\Leftrightarrow\frac{x+52}{21}+\frac{x+51}{22}-\frac{x+50}{23}-\frac{x+49}{24}=0\)

\(\Leftrightarrow\left(\frac{x+52}{21}+1\right)+\left(\frac{x+51}{22}+1\right)-\left(\frac{x+50}{23}+1\right)-\left(\frac{x+49}{24}+1\right)=0\)

\(\Leftrightarrow\frac{x+73}{21}+\frac{x+73}{22}-\frac{x+73}{23}-\frac{x+73}{24}=0\)

\(\Leftrightarrow\left(x+73\right)\left(\frac{1}{21}+\frac{1}{22}-\frac{1}{23}-\frac{1}{24}\right)=0\)

=> \(x+73=0\left(\frac{1}{21}+\frac{1}{22}-\frac{1}{23}-\frac{1}{24}\ne0\right)\)

<=> x=-73

\(\text{24×23+3×52}\)

\(=552+156\)

\(=708\)

hok tốt

24 x 23 + 3 x 52

= 3 x 8 x 23 + 3 x 52

= 3 x 184 + 3 x 52

= 3 x ( 184 + 52 )

= 3 x 236

= 708