a)

\(=\dfrac{13}{5}+\dfrac{7}{5}\cdot\dfrac{7}{2}\)

\(=\dfrac{13}{5}+\dfrac{49}{10}\\ =\dfrac{26}{10}+\dfrac{49}{10}\\ =\dfrac{15}{2}\)

b)

\(=\dfrac{52}{4}-\dfrac{11}{3}:\dfrac{7}{6}\)

\(=\dfrac{52}{4}-\dfrac{22}{7}\\ =\dfrac{69}{7}\)

a) $2\dfrac35 + 1\dfrac25 . 3\dfrac12$

$= \dfrac{13}5 + \dfrac75.\dfrac72$

$= \dfrac{26}{10} + \dfrac{49}{10}$

$=\dfrac{15}2$.

b) $4\dfrac34 - 3\dfrac23 : 1\dfrac16$

$= \dfrac{19}4 - \dfrac{11}3 : \dfrac76$

$= \dfrac{19}4 - \dfrac{11}3 . \dfrac67$

$= \dfrac{19}4 - \dfrac{22}7$

$= \dfrac{45}{28}$.

2/5 x 1/2 : 1/3 = 2/5 x 1/2 x 3 = 3/5

1/2 x 1/3 + 1/4= 1/6 + 1/4 = 4/24 + 6/24 = 10/24 =5/12

\(\dfrac{2}{5}\times\dfrac{1}{2}:\dfrac{1}{3}=\dfrac{2}{5}\times\dfrac{3}{2}=\dfrac{3}{5}\)

\(\dfrac{1}{2}\times\dfrac{1}{3}+\dfrac{1}{4}=\dfrac{1}{6}+\dfrac{1}{4}=\dfrac{2}{12}+\dfrac{3}{12}=\dfrac{5}{12}\)

2/5 x 1/2 : 1/3

= 1/5 : 1/3 

= 3/5

1/2 x 1/3 + 1/4

= 1/6 + 1/4

= 5/12

Bài 1: 

\(A=x^2+6x+9+x^2-10x+25\)

\(=2x^2+4x+34\)

\(=2\left(x^2+2x+17\right)\)

\(=2\left(x+1\right)^2+32>=32\forall x\)

Dấu '=' xảy ra khi x=-1

2/5 + 3/4 - 4/7 = 23/20 - 4/7 = 81/140

7/9 : 2/3 x 5/4 = 7/6 x 5/4 = 35/24

4/5 x (7/10 - 1/2) = 4/5 x 1/5 = 4/25

a) \(\dfrac{2}{5}+\dfrac{3}{4}-\dfrac{4}{7}\)

\(=\dfrac{56}{140}+\dfrac{105}{140}-\dfrac{80}{140}\)

\(=\dfrac{56+105-80}{140}\)

\(=\dfrac{81}{140}\)

b) \(\dfrac{7}{9}:\dfrac{2}{3}\times\dfrac{5}{4}\)

\(=\dfrac{7}{9}\times\dfrac{3}{2}\times\dfrac{5}{4}\)

\(=\dfrac{7\times3\times5}{9\times2\times4}\)

\(=\dfrac{35}{24}\)

c) \(\dfrac{4}{5}\times\left(\dfrac{7}{10}-\dfrac{1}{2}\right)\)

\(=\dfrac{4}{5}\times\left(\dfrac{7}{10}-\dfrac{5}{10}\right)\)

\(=\dfrac{4}{5}\times\dfrac{1}{5}\)

\(=\dfrac{4}{25}\)

địt con mẹ mày lên

\(\dfrac{1}{3}\)-\(\dfrac{2}{15}\)+\(\dfrac{14}{15}\)=\(\dfrac{3}{15}\)-\(\dfrac{2}{15}\)+\(\dfrac{14}{15}\)

=\(\dfrac{13}{15}\)

\(\dfrac{3}{5}\)+4-\(\dfrac{6}{7}\)=\(\dfrac{3}{5}\)+\(\dfrac{20}{5}\)-\(\dfrac{6}{7}\)=\(\dfrac{23}{5}\)-\(\dfrac{6}{7}\)=\(\dfrac{161}{35}\)-\(\dfrac{30}{35}\)=\(\dfrac{131}{35}\)

mik chỉ làm đc câu b thôi nhé

b,5-/x+4/=-16

      /x+4/=-16+5

     /x+4/=-11

 x+4=-11 hoặc x+4=11

x=(-11)-4 hoặc x=11-4

x=-15 hoặc x=7

\(M=\left(2x+5\right)^3-30x\left(2x+5\right)-8x^3\)

\(=\left(2x+5\right)\left(4x^2+20x+25-30x\right)-8x^3\)

\(=\left(2x+5\right)\left(4x^2-10x+25\right)-8x^3\)

\(=8x^3+125-8x^3\)

=125

(1)          5/2 x (3/4 - 1/3) -11/12+1/4 = 5/2 x (9/12-4/12) -11/12 +3/12=5/2 x 5/12 -11/12 +3/12 = 25/24 - 11/12 +3/12=25/24 -22/24 +                           6/24=9/12=3/4

(2)           11/12 : (4/10 + 3/5) + (5/6 - 1/2) x2/3 

                = 11/12 : (4/10 + 6/10) + (5/6-3/6) x 2/3

                = 11/12:1 +1/2 x 2/3

                = 11/12 + 2/3 =11/12+8/12 = 19/12 

-1/10

\(\dfrac{3}{4}x\dfrac{2}{5}-\dfrac{3}{10}:\dfrac{4}{3}\) \(=\dfrac{3}{10}-\dfrac{9}{40}=\dfrac{3}{40}\)