\(Ư\left(90\right)=\left\{\text{1,2,3,5,6,9,10,15,18,30,45}\right\}\) 11 ước

\(Ư\left(540\right)=\left\{\text{1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270}\right\}\)

23 ước

\(Ư\left(3675\right)=\left\{\text{1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225}\right\}\)

17 ước

a. 90 = 2.3.3.5 

Số ước là: 

(1 + 1) x (2 +1) x ( 1 + 1) = 12 

b. 540 = 2.2.3.3.5

Số ước là: 

(2+1).(3+1).(1+1) = 24 

c. 3675 = 3.5.5.7.7

Số ước là: 

( 1 + 1).(2+1).(2+1) = 18 ước 

\(4578=2\cdot3\cdot7\cdot109\)

\(22725=3^2\cdot5^2\cdot101\)

\(478=2\cdot239\)

212 ⋮ 2

522 ⋮ 2

Vậy (212 + 522) ⋮ 2

\(212⋮2\)

\(522⋮2\)

\(\Rightarrow512+522⋮2\)

\(3^4.3^x=3^7\\ \Rightarrow4+x=7\\ \Rightarrow x=3.\)

\(3^4.3^x=3^7\)

\(81.3^x=2187\)

\(3^x=2187:81\)

\(3^x=27\)

\(\Rightarrow3^2=27\)

\(\Rightarrow x=2\)

\(\left(2x+1\right)^3=125\\ \Rightarrow\left(2x+1\right)^3=5^3\\ \Rightarrow2x+1=5\\ \Rightarrow2x=4\\ \Rightarrow x=2.\\ b,\left(2x-1\right)^4=16\\ \Rightarrow\left(2x-1\right)^4=2^4\\ \Rightarrow2x-1=2\\ \Rightarrow2x=3\\ \Rightarrow x=\dfrac{3}{2}.\\ c,6.3^x-2.3^x=36\\ \Rightarrow3^x.\left(6-2\right)=36\\ \Rightarrow3^x.4=36\\ \Rightarrow3^x=9\\ \Rightarrow3^x=3^2\\ \Rightarrow x=2.\\ d,2^{x+1}-2^x=32\\ \Rightarrow2^x.\left(2-1\right)=32\\ \Rightarrow2^x=2^5\\ \Rightarrow x=5.\)

\(a,91-5.\left(5+x\right)=61\\ \Rightarrow=5.\left(5+x\right)=30\\ \Rightarrow5+x=6\\ \Rightarrow x=1.\\ b,\left[195-\left(3x-27\right)\right].39=4212\\ \Rightarrow195-\left(3x-27\right)=108\\ \Rightarrow3x-27=87\\ \Rightarrow3x=114\\ \Rightarrow x=38.\)

\(91-5.\left(5+x\right)=61\)

\(\Rightarrow5.\left(5+x\right)=91-61\)

\(\Rightarrow5.\left(5+x\right)=30\)

\(\Rightarrow5+x=\dfrac{30}{5}=6\)

\(\Rightarrow x=6-5=1\)

\(\left[195-\left(3x-27\right)\right].39=4212\)

\(\Rightarrow195-3x+27=\dfrac{4212}{39}=108\)

\(\Rightarrow222-3x=108\)

\(\Rightarrow3x=222-108=114\)

\(\Rightarrow x=\dfrac{114}{3}=38\)

\(a,250:\left(10-x\right)=25\\ \Rightarrow10-x=10\\ \Rightarrow x=0.\\b,3x-2018:2=23\\ \Rightarrow3x-1009=23\\ \Rightarrow3x=1032\\ \Rightarrow x=344. \)

a) \(250:\left(10-x\right)=25\)

\(10-x=250:25\)

\(10-x=10\)

\(x=10-10\)

\(x=0\)

b) \(3x-2018:2=23\)

\(3x-1009=23\)

\(3x=23+1009\)

\(3x=1032\)

\(x=1032:3\)

\(x=344\)

\(53.\left(51+4\right)+53.\left(49+91\right)+53\\ =53.55+53.140+53.1\\ =53.\left(55+140+1\right)\\ =53.196\\ =10388.\)

\(53\cdot\left(51+4\right)+\left(49+91\right)+53\)
\(=53\cdot55+53\cdot140+53\cdot1\)

\(=53\cdot\left(55+140+1\right)\)

\(=53\cdot196\)

\(=53\cdot\left(200-4\right)\)

\(=53\cdot200+53\cdot4\)

\(=10600-212\)

\(=10388\)

a) \(70-\left(x-3\right)=45\)

\(x-3=70-45\)

\(x-3=25\)

\(x=25+3\)

\(x=28\)

b) \(12+\left(5+x\right)=20\)

\(5+x=20-12\)

\(5+x=8\)

\(x=8-5\)

\(x=3\)

c) \(130-\left(100+x\right)=25\)

\(100+x=130-25\)

\(100+x=105\)

\(x=105-100\)

\(x=5\)

d) \(175+\left(30-x\right)=200\)

\(30-x=200-175\)

\(30-x=25\)

\(x=30-25\)

\(x=5\)

e) \(\left(x+12\right)+22=92\)

\(x+12=92-22\)

\(x+12=70\)

\(x=70-12\)

\(x=58\)

f) \(95-\left(x+2\right)=45\)

\(x+2=95-45\)

\(x+2=50\)

\(x=50-2\)

\(x=48\)

a)

70 - (x - 3) = 45

x - 3 = 70 - 45 = 25

x = 25 + 3 = 28

Vậy x = 28

b)

12 + (5 + x) = 20

5 + x = 20 - 12 = 8

x = 8 - 5 = 3

Vậy x = 3

c)

130 - (100 + x) = 25

100 + x = 130 - 25 = 115

x = 115 - 100 = 15

Vậy x = 15

d)

175 + (30 - x) = 200

30 - x = 200 - 175 = 25

x = 30 - 25 = 5

Vậy x = 5

e)

(x + 12) + 22 = 92

x + 12 = 92 - 22 = 70

x = 70 - 12 = 58

Vậy x = 58

f)

95 - (x + 2) = 45

x + 2 = 95 - 45 = 50

x = 50 - 2 = 48

Vậy x = 48

a. x - 17 = 115 

x = 115 + 17 

x = 132 

b. 315 + ( 146 - x ) = 401

146 - x = 401 - 315 

146 - x = 86 

x = 60