Hướng dẫn giải:

a) 3 x (20 – 5)

Cách 1:

3 x (20 – 5) = 3 x 15 = 45

Cách 2:

3 x (20 – 5) = 3 x 20 – 3 x 5 = 60 – 15 = 45

b) 20 x (40 – 1)

Cách 1:

20 x (40 – 1) = 20 x 39 = 780

Cách 2:

20 x (40 – 1) = 20 x 40 – 20 x 1 = 800 – 20 = 780

3 x 15 + 21 x 15 + 85 x 5

= 45 + 315 + 425

= 785

15 - 30 + 40 

= 25

21 + 19 - 50 + 10

= 0

\(\dfrac{1}{5}-\dfrac{1}{4}+2\)

\(=-\dfrac{1}{20}+2\)

\(=\dfrac{39}{20}\)

\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)

\(=\dfrac{5}{12}\times\dfrac{1}{4}\)

\(=\dfrac{5}{12}\times\dfrac{3}{12}\)

\(=\dfrac{5}{48}\)

\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)

\(=-\dfrac{9}{20}\)

\(3\times15+21\times15+85\times5\\ =15\times\left(3+21\right)+425\\ =15\times24+425\\ =360+425\\ =785\)

\(15-30+40\\ =\left(15+40\right)-30\\ =55-30\\ =25\)

\(21+19-50+10\\ =\left(21+19\right)-\left(50-10\right)\\ =40-40\\ =0\)

\(\dfrac{1}{5}-\dfrac{1}{4}+2\)

\(=\dfrac{4}{20}-\dfrac{5}{20}+\dfrac{40}{20}\)

\(=\dfrac{\left(4+40\right)}{20}-\dfrac{5}{20}\)

\(=\dfrac{44}{20}-\dfrac{5}{20}\)

\(=\dfrac{39}{20}\)

\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)

\(=\dfrac{5}{12}\times\dfrac{1}{4}\)

\(=\dfrac{5}{48}\)

\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)

\(=\dfrac{2}{20}+\dfrac{4}{20}-\dfrac{15}{20}\)

\(=\dfrac{6}{20}-\dfrac{15}{20}\)

\(=-\dfrac{9}{20}\)

Help meeeeeeeeeee

B)

( x + 4/3 ) * 7/4 = 5 - 7/6

( x + 4/3) * 7/4 = 5/1 - 7/6

( x + 4/3) * 7/4 = 30/6 - 7/6

( x + 4/3) * 7/4 = 23/6 

( x + 4/3)        = 23/6 : 7/4

( x+ 4/3)         = 23/6 . 4/7

( x+ 4/3)         = 46/21

  x                 = 46/21 - 4/3

  x                  = 46/21 - 28/21

 x                 =  18/21 = 6/7
Tk vs kb hộ mk nha! thank u 

may cau khac ko kho lam dau chi co cau d thoi.

(100%-50%+40%):x=18%+30%:x

90%:x=18%+30%:x

18%=90%:x-30%:x

18%=60%:x

X=60%:18%

x=..................................................................................................

xong roi do  a cho minh nhe

a) 

( x - 1/2) * 5/3 = 7/4   - 1/2

( x - 1/2) * 5/3 = 7/4  - 2/4

( x - 1/2) * 5/3 = 5/4

( x - 1/2)        = 5/4 : 5/3

( x - 1/2 )      = 5/4 . 3/5

( x - 1/2 )      = 3/4

  x               = 3/4 + 1/2

  x               = 3/4 + 2/4

  x              = 5/4

Tk + kb hộ mk nha! thanks        

a) \(x=\dfrac{1}{4}+\dfrac{2}{13}\)

\(x=\dfrac{13}{52}+\dfrac{8}{52}\)

⇒ \(x=\dfrac{21}{52}\)

b) \(\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\)

\(\dfrac{x}{3}=\dfrac{14}{21}+\dfrac{-3}{21}\)

\(\dfrac{x}{3}=\dfrac{11}{21}\)

⇒ \(x=\dfrac{11.3}{21}=\dfrac{33}{21}\)

⇒ \(x=\dfrac{11}{7}\)

c) \(\dfrac{-8}{3}+\dfrac{1}{3}< x< \dfrac{-2}{7}+\dfrac{-5}{7}\)

\(\dfrac{-17}{7}< x< -1\)

⇒ \(-17< x< -7\)

⇒ \(x\in\left\{-16;-15,....;-6\right\}\)

d) \(\dfrac{1}{6}+\dfrac{2}{5}\)

\(=\dfrac{5}{30}+\dfrac{12}{30}\)

\(=\dfrac{17}{30}\)

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

\(=\dfrac{12}{20}+\dfrac{-35}{20}\)

\(=\dfrac{-23}{20}\)

f) \(\dfrac{4}{13}+\dfrac{-12}{30}\)

\(=\dfrac{4}{13}+\dfrac{-2}{5}\)

\(=\dfrac{20}{65}+\dfrac{-26}{65}\)

\(=\dfrac{-6}{65}\)

g) \(\dfrac{-3}{29}+\dfrac{16}{58}\)

\(=\dfrac{-6}{58}+\dfrac{16}{58}\)

\(=\dfrac{10}{58}\)

h) \(\dfrac{8}{40}+\dfrac{-36}{45}\)

\(=\dfrac{1}{5}+\dfrac{-4}{5}\)

\(=\dfrac{-3}{5}\)

j) \(\dfrac{-8}{18}+\dfrac{15}{27}\)

\(=\dfrac{-2}{9}+\dfrac{5}{9}\)

\(=\dfrac{3}{9}\)

\(=\dfrac{1}{3}\)

a)

\(P=\dfrac{x^{10}-x^8+x^6-x^4+x^2-1}{x^4-1}\)

\(=\dfrac{x^8\left(x^2-1\right)+x^4\left(x^2-1\right)+\left(x^2-1\right)}{\left(x^2-1\right)\left(x^2+1\right)}\)

\(=\dfrac{\left(x^2-1\right)\left(x^8+x^4+1\right)}{\left(x^2-1\right)\left(x^2+1\right)}\)

\(=\dfrac{x^8+x^4+1}{x^2+1}\)

b)

\(Q=\dfrac{x^{40}+x^{30}+x^{20}+x^{10}+1}{x^{45}+x^{40}+x^{35}+...+x^{10}+x^5+1}\)

\(=\dfrac{x^{40}+x^{30}+x^{20}+x^{10}+1}{\left(x^{45}+x^{35}+...+x^5\right)+\left(x^{40}+x^{30}+...+1\right)}\)

\(=\dfrac{x^{40}+x^{30}+x^{20}+x^{10}+1}{x^5\left(x^{40}+x^{30}+...+1\right)+\left(x^{40}+x^{30}+...+1\right)}\)

\(=\dfrac{x^{40}+x^{30}+x^{20}+x^{10}+1}{\left(x^{40}+x^{30}+...+1\right)\left(x^5+1\right)}\)

\(=\dfrac{1}{\left(x^5+1\right)}\)

Học sinh nhẩm và ghi kết quả như sau:

6 x 4 = 24

6 x 2 = 12

6 x 5 = 30

6 x 1 = 6

24 : 6 = 4

12 : 6 = 2

30 : 6 = 5

6 : 6 = 1

24 : 4 = 6

12 : 2 = 6

30 : 5 = 6

6 : 1 = 6

(có thể nêu nhận xét: lấy tích chia cho một thừa số được thừa số kia)

ủa dễ vậy

a) \(3\times\left(-2\right)+4\times6-2^2+\left(-2\right)^2\)

\(=\left(-6\right)+24-4+4\)

\(=18-4+4\)

\(=14+4\)

\(=18\)

b) \(-25-40+3\times6\)

\(=-25-40+18\)

\(=-65+18\)

\(=-47\)

c) \(30\times\left(-10\right)-30\times90\)

\(=\left(-300\right)-2700\)

\(=-3000\)

Chúc bạn học tốt

\(x^6:x^3=125\)

\(x^3=125\)

\(x^3=5^3\)

\(\Rightarrow x=5\)

b, \(3.2^x-3=45\)

\(3.2^x=45+3\)

\(3.2^x=48\)

\(2^x=48:3\)

\(2^x=16\)

\(2^x=2^4\)

\(\Rightarrow x=4\)

c, \(1500:\left[\left(30+40\right):x\right]=30\)

\(1500:\left[70:x\right]=30\)

\(70:x=1500:30\)

\(70:x=50\)

\(x=70:50\)

\(x=\frac{70}{50}\)

\(x=\frac{7}{5}\)

d, \(720:\left[41-\left(2x-5\right)\right]=2^3.5\)

\(720:\left[41-\left(2x-5\right)\right]=8.5\)

\(720:\left[41-\left(2x-5\right)\right]=40\)

\(41-\left(2x-5\right)=720:40\)

\(41-\left(2x-5\right)=18\)

\(2x-5=41-18\)

\(2x-5=23\)

\(2x=23+5\)

\(2x=28\)

\(x=28:2\)

\(x=14\)

  bạn thử lại nhé

Ta có x²⁰=x¹

=> x=0 hoặc x=1

x⁶:x³=x^6-3=x³=125

=>x³=5³

=> x=5

Ta có

4x³+12=120

=>4x³=108

=>x³=27

=>x=3

Ta có

3.2^x-3=45

=>3(2^x-1)=45

=>2^x-1=15

=>2^x=16

=> x=2 hoặc x=-2

Ta có 1500:[(30+40):x]=30

=>70:x=50

=> x=7/5

Ta có

720:[41-(2x-5)]=2³.5

=>41-(2x-5)=720:40=18

=> 2x-5=23

=>x=(23+5):2=14

KL

Bài 1

\(\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{5}{10}+\dfrac{7}{10}=\dfrac{12}{10}=\dfrac{6}{5}\)

\(\dfrac{8}{15}\times\dfrac{5}{12}=\dfrac{40}{180}=\dfrac{2}{9}\)

Baì 2 

\(30\times\dfrac{5}{3}=50\)

\(\dfrac{6}{5}\times\dfrac{5}{3}=2\)

\(\dfrac{12}{40}\times\dfrac{5}{3}=\dfrac{1}{2}\)

Bài 1:

1/2 + 7/10 = 10/20 + 14/20 = 6/5

8/15 x 5/12 = 2/9

Bài 2: 

5/3 của số 30 là: 30 x 5/3 = 50

5/3 của số 6/5 là: 6/5 x 5/3 = 2

5/3 của số 12/40 là: 12/40 x 5/3 = 1/2

\(\dfrac{1}{2}\)+\(\dfrac{7}{10}\)=\(\dfrac{5}{10}\)+\(\dfrac{7}{10}\)=\(\dfrac{12}{10}\)=\(\dfrac{6}{5}\)