Trl:

Đặt giá trị biểu thức là A , ta có :

\(A=\frac{0,5+0,\left(3\right)-0,1\left(6\right)}{2,5+1,\left(6\right)-0,8\left(3\right)}\)

\(A=\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{6}}{\frac{5}{2}+\frac{5}{3}-\frac{5}{6}}\)

\(A=\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{6}}{5\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{6}\right)}=\frac{1}{5}\)

Nguồn : mạng

\(G=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{6}}{\dfrac{5}{2}+\dfrac{5}{3}-\dfrac{5}{6}}=\dfrac{1}{5}\)

\(H=\left[\dfrac{32}{99}\cdot\dfrac{14}{9}-\dfrac{25}{99}\right]\cdot\dfrac{11}{83}\)

\(=\dfrac{223}{891}\cdot\dfrac{11}{83}=\dfrac{223}{6723}\)

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

a, ĐKXĐ: x≠±2

A=\(\left(\dfrac{x}{x^2-4}+\dfrac{2}{2-x}+\dfrac{1}{x+2}\right)\left(x-2+\dfrac{10-x^2}{x+2}\right)\)

A=\(\left(\dfrac{x}{x^2-4}-\dfrac{2x+4}{x^2-4}+\dfrac{x-2}{x^2-4}\right)\left(\dfrac{x^2+2x}{x+2}-\dfrac{2x+4}{x+2}+\dfrac{10-x^2}{x+2}\right)\)

A=\(\left(\dfrac{-6}{x^2-4}\right)\left(\dfrac{6}{x+2}\right)\)

A=\(\dfrac{-36}{\left(x-2\right)\left(x+2\right)^2}\)

b, |x|=\(\dfrac{1}{2}\)

TH1z: x≥0 ⇔ x=\(\dfrac{1}{2}\) (TMĐKXĐ)

TH2: x<0 ⇔ x=\(\dfrac{-1}{2}\) (TMĐXĐ)

Thay \(\dfrac{1}{2}\), \(\dfrac{-1}{2}\) vào A ta có:

\(\dfrac{-36}{\left(\dfrac{1}{2}-2\right)\left(\dfrac{1}{2}+2\right)^2}\)=\(\dfrac{96}{25}\)

\(\dfrac{-36}{\left(\dfrac{-1}{2}-2\right)\left(\dfrac{-1}{2}+2\right)^2}\)=\(\dfrac{32}{5}\)

c, A<0 ⇔ \(\dfrac{-36}{\left(x-2\right)\left(x+2\right)^2}\) ⇔ (x-2)(x+2)² < 0

⇔   {x-2>0        ⇔      {x>2

     [                           [

       {x+2<0                 {x<2

⇔   {x-2<0        ⇔      {x<2

     [                           [

       {x+2>0                 {x>2

⇔ x<2 

Vậy x<2 (trừ -2)

\(\frac{0,5+\frac{1}{3}-\frac{1}{6}}{2,5+\frac{5}{3}-\frac{5}{6}}\)

= \(\frac{\frac{3}{6}+\frac{2}{6}-\frac{1}{6}}{\frac{15}{6}+\frac{10}{6}-\frac{5}{6}}\)

= \(\frac{\frac{4}{6}}{\frac{20}{6}}\)

= \(\frac{4}{6}:\frac{20}{6}\)

= \(\frac{2}{3}.\frac{3}{10}\)

= \(\frac{1}{5}\)

Đặt GTBT là A, ta có:

A=0,5+0,(3)−0,1(6)2,5+1,(6)−0,8(3) 

A=12 +13 −16 52 +53 −56  

A=12 +13 −16 5(12 +13 −16 ) =15 

bạn tự điền mấy cái dấu gach p/s nha

_____________________

chúc bạn học tốt

Đặt GTBT là A, ta có:

A=0,5+0,(3)−0,1(6)2,5+1,(6)−0,8(3)

A=12+13−1652+53−56

A=12+13−165(12+13−16)=15

a, ĐKXĐ: x≠±3

A=\(\left(\dfrac{3-x}{x+3}.\dfrac{x^2+6x+9}{x^2-9}+\dfrac{x}{x+3}\right):\dfrac{3x^2}{x+3}\)

A=\(\left(\dfrac{3-x}{x+3}.\dfrac{\left(x+3\right)^2}{\left(x+3\right)\left(x-3\right)}+\dfrac{x}{x+3}\right):\dfrac{3x^2}{x+3}\)

A=\(\left(\dfrac{3-x}{x-3}+\dfrac{x}{x+3}\right):\dfrac{3x^2}{x+3}\)

A=\(\left(\dfrac{9-x^2}{x^2-9}+\dfrac{x^2-3x}{x^2-9}\right):\dfrac{3x^2}{x+3}\)

A=\(\left(\dfrac{-3}{x+3}\right):\dfrac{3x^2}{x+3}\)

A=\(\dfrac{-1}{x^2}\)

b, Thay x=\(-\dfrac{1}{2}\) (TMĐKXĐ) vào A ta có:

\(\dfrac{-1}{\left(-\dfrac{1}{2}\right)^2}\)=-4

c, A<0 ⇔ \(\dfrac{-1}{x^2}< 0\) ⇔ x²>0 (Đúng với mọi x)

Vậy để A<0 thì x đúng với mọi giá trị (trừ ±3)