a: \(=\dfrac{3}{5}:\dfrac{7}{5}=\dfrac{3}{5}\cdot\dfrac{5}{7}=\dfrac{3}{7}\)

b: \(=\dfrac{9}{17}\left(\dfrac{8}{5}-\dfrac{3}{5}\right)+\dfrac{8}{17}\)

=9/17+8/17=1

c: =>x-3/10=7/15*1/5=7/75

=>x=7/75+3/10=59/150

\(=\dfrac{8}{22}\cdot\dfrac{7}{9}+\dfrac{5}{9}\cdot\dfrac{8}{11}-\dfrac{8}{9}\cdot\dfrac{4}{11}\)

\(=\dfrac{8}{9}\left(\dfrac{7}{22}+\dfrac{5}{11}-\dfrac{4}{11}\right)=\dfrac{8}{9}\cdot\dfrac{9}{22}=\dfrac{4}{11}\)

= \(\dfrac{4}{11}\)

Bài 1 : Tính bằng cách thuận tiện 

A = 3/13 x 5/7 + 2/13 x 3/7

= 2/13 + 1/13 x 5/7 + 2/13 x 3/7

=  2/13 x 72/91 + 2/13 x 3/7

= 2/13 x ( 72/91 + 3/7 )

= 2/13 x  37/24

= 37/156.

B = 21/22 x 17/8 + 21/8 x 7/22

= 21/22 x 17/8 + 17/8 + 4/8 x 7/22

=  21/22 x 17/8 + 17/8 x 7/44

=  ( 21/22 + 7/44 ) x 21/22

=  31/44 x 21/22

=  651/968.

Chúc bạn học tốt!!!

1) Ta có: \(\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{7}{25}\cdot\dfrac{5}{7}\right)\)

\(=\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{1}{5}\right)\)

=0

2) Ta có: \(\dfrac{8}{17}\cdot\dfrac{4}{15}+\dfrac{8}{17}\cdot\dfrac{22}{15}-\dfrac{8}{15}\cdot\dfrac{9}{17}\)

\(=\dfrac{8}{17}\left(\dfrac{4}{15}+\dfrac{22}{15}-\dfrac{9}{15}\right)\)

\(=\dfrac{8}{17}\cdot\dfrac{15}{15}=\dfrac{8}{17}\)

3) Ta có: \(\dfrac{2021}{2}\cdot\dfrac{1}{3}+\dfrac{4042}{4}\cdot\dfrac{1}{5}+\dfrac{6063}{3}\cdot\dfrac{22}{15}\)

\(=\dfrac{2021}{2}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)+2021\cdot\dfrac{22}{15}\)

\(=\dfrac{2021}{2}\cdot\dfrac{8}{15}+\dfrac{2021}{2}\cdot\dfrac{44}{15}\)

\(=\dfrac{2021}{2}\cdot\dfrac{52}{15}\)

\(=\dfrac{52546}{15}\)

4) Ta có: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)

\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)

\(=\dfrac{4}{7}\)

1) Tính biểu thức:

8x-6-6x+8=22

8x-6x=22-8+6

2x=20

x=20/2

x=10

x = 10

nhớ tick đúng cho mình nha

x+8-x-22=x-x+8-22=0+8-22=8-22=-14 tick nha mèo mun cute

1.\(\left(x+5\right)^2=x^2+10x+25\)

2. \(\left(2x-5y\right)^2=4x^2-20xy+25y^2\)

3. \(\left(x+8\right)\left(x-8\right)=x^2-64\)

4. \(\left(x+4\right)^3=x^3+12x^2+48x+64\)

5. \(\left(2x-1\right)^3=8x^3-12x^2+6x-1\)

\(\dfrac{3}{8}+\dfrac{-11}{8}=1\)

\(\dfrac{22}{9}+\dfrac{10}{18}=3\)

1<x<3

=>x=2

1:

a: \(35\cdot16+35\cdot28-44\cdot15\)

\(=35\left(16+28\right)-44\cdot15\)

\(=44\left(35-15\right)\)

\(=44\cdot20=880\)

b: \(240-2\left(3\cdot5^2-20:2^2\right)\)

\(=240-2\left(3\cdot25-20:4\right)\)

\(=240-150+10=10+90=100\)

2:

b: \(\left(8-3x\right)^4-1=15\)

=>\(\left(3x-8\right)^4=16\)

=>\(\left[{}\begin{matrix}3x-8=2\\3x-8=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=10\\3x=6\end{matrix}\right.\)

=>x=10/3 hoặc x=2

c: \(218-5\left(x-8\right)=2^5:2^2\)

=>\(218-5\left(x-8\right)=2^3=8\)

=>5(x-8)=210

=>x-8=42

=>x=50

d: \(\left(5-3x\right)^4-1=15\)

=>\(\left(3x-5\right)^4-1=15\)

=>\(\left(3x-5\right)^4=16\)

=>\(\left[{}\begin{matrix}3x-5=-4\\3x-5=4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=1\\3x=9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=3\end{matrix}\right.\)