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27 tháng 11 2019

15 + 2 + 1 = 18     68 - 1 - 1 = 66     77 - 7 - 0 = 70

34 + 1 + 1 = 36     84 - 2 - 2 = 80     99 - 1 - 1 = 97

1: =-3x5+2x5-7x5+7x4=-8x5+7x4=-40+28=-12

2: =-3x5+3x6-4x3+4x2=-9+8=-1

3: =17(-84-16)=-1700

4: =1975(-115+15)=-197500

5: =-145x13+145x57+57x10-57x145=-1315

25 tháng 1 2022

1/ \(5\left(-3+2\right)-7\left(5-4\right)\)

\(=5.\left(-3\right)+5.2-7.5-7.\left(-4\right)\)

\(=-15+10-35+28\)

\(=-5-7\)

\(=-12\)

2/ \(3.\left(-5+6\right)-4.\left(3-2\right)\)

\(=3.\left(-5\right)+3.6-4.3-4.\left(-2\right)\)

\(=-15+18-12+8\)

\(=3-4\)

\(=-1\)

3/ \(17.\left(-84\right)+17.\left(-16\right)\)

\(=17.\left(-84-16\right)\)

\(=17.\left(-100\right)\)

\(=-1700\)

4/ \(1975.\left(-115\right)+1975.15\)

\(=1975.\left(-115+15\right)\)

\(=1975.\left(-100\right)\)

\(=-197500\)

5/ \(-145.\left(13-57\right)+57.\left(10-145\right)\)

\(=-145.13-145.\left(-57\right)+57.10+57.\left(-145\right)\)

\(=-145.\left(-57+57\right)-145.13+57.10\)

\(=0-1885+570\)

\(=-1315\)

6/ \(157.17-157.7\)

\(=157.\left(17-7\right)\)

\(=157.10\)

\(=1570\)

7/ \(199.\left(15-17\right)-199.\left(-17+5\right)\)

\(=199.\left(-2\right)-199.\left(-12\right)\)

\(=199.\left(-2\right)+199.12\)

\(=199.\left(-2+12\right)\)

\(=199.10\)

\(=1990\)

8/ \(-39.\left(5-99\right)+99.\left(10-39\right)\)

\(=-39.5-39.\left(-99\right)+99.10+99.\left(-39\right)\)

\(=-39.\left(-99+99\right)-39.5+99.10\)

\(=0-195+990\)

\(=795\)

9/ \(-38.\left(25-4\right)+25.\left(-4+38\right)\)

\(=-38.25-38.\left(-4\right)+25.\left(-4\right)+25.38\)

\(=25.\left(-38+38\right)-4.\left(-38+25\right)\)

\(=0-4.\left(-13\right)\)

\(=52\)

10/ \(\left(-37\right).86+37.76\)

\(=37.\left(-86\right)+37.76\)

\(=37.\left(-86+76\right)\)

\(=37.\left(-10\right)\)

\(=-370\)

28 tháng 1 2022

b, ( cái (99) là -99 hay +99)

\(c,=\left[\left(-25\right).\left(-4\right)\right].\left[9.\left(-7\right)\right]\\ =100.\left(-63\right)=-6300\\ d,=37.\left(-84\right)+37.\left(-16\right)\\ =37.\left[\left(-84\right)+\left(-16\right)\right]\\ =37.\left(-100\right)=-3700\)

28 tháng 1 2022

b) (-2).29+(-2).(99)+(-2).(-30)

=1.(-2).29+(-2).(99)+(-2)

=-2. (1+99+30)

=-2.130

=-260

c)(-25).9.(-4).(-7)

=[-25.(-4)].[9.(-7)]

=100.(-63)

=-6300

d) (-37).84+37.(-16)

=(-37+37).[84+(-16)]

=0.[84+(-16)]

=0

 

24 tháng 11 2017

9.(x+1)=99

     x+1=99:9

     x+1=11

      x    =11-1

        x=10

[(6:x-72):2-84]=5628

  (6:x-72):2       =5628+84

   (6:x-72):2      =5712

    6:x-72          =5712.2

     6:x-72         =11424

     6:x              =11424+72

     6: x             =11496

         x                 =6:1496

           x             = 1/1916

24 tháng 11 2017

Help me

13 tháng 11 2023

a: \(A=2^{100}-2^{99}+2^{98}-2^{97}+...+2^2-2\)

=>\(2A=2^{101}-2^{100}+2^{99}-2^{98}+...+2^3-2^2\)

=>\(2A+A=2^{101}-2^{100}+2^{99}-2^{98}+...+2^3-2^2+2^{100}-2^{99}+...+2^2-2\)

=>\(3A=2^{101}-2\)

=>\(A=\dfrac{2^{101}-2}{3}\)

b: Sửa đề: \(A=\dfrac{2\cdot8^4\cdot27^2+4\cdot6^9}{2^7\cdot6^7+2^7\cdot40\cdot9^4}\)

\(A=\dfrac{2\cdot2^{12}\cdot3^6+2^2\cdot2^9\cdot3^9}{2^7\cdot2^7\cdot3^7+2^7\cdot2^3\cdot5\cdot3^8}\)

\(=\dfrac{2^{11}\cdot3^6\left(2^3+3^3\right)}{2^{10}\cdot3^7\left(2^4+5\cdot3\right)}\)

\(=\dfrac{2}{3}\cdot\dfrac{4+27}{16+15}=\dfrac{2}{3}\)

c: \(B=\dfrac{4^5\cdot9^4-2\cdot6^4}{2^{10}\cdot3^8+6^8\cdot20}\)

\(=\dfrac{2^{10}\cdot3^8-2\cdot2^4\cdot3^4}{2^{10}\cdot3^8+2^8\cdot2^2\cdot5\cdot3^8}\)

\(=\dfrac{2^5\cdot3^4\left(2^5\cdot3^4-1\right)}{2^{10}\cdot3^8\left(1+5\right)}=\dfrac{1}{2^5\cdot3^4}\cdot\dfrac{32\cdot81-1}{6}\)

\(=\dfrac{2591}{2^6\cdot3^5}\)

 

13 tháng 11 2023

help

 

13 tháng 9 2020

a) 125 - 5(x + 10) = 12

=> 5(x + 10) = 125 - 12 = 113

=> x + 10 = 113 : 5

=> x + 10 = 113/5

=> x = 113/5 - 10 = 63/5

b) (x - 1)2 = 4 => (x - 1)2 = (\(\pm\)2)2

=> x - 1 = 2 hoặc x - 1 = -2

=> x = 3 hoặc x = -1

c) 5x+1 - 52 . 17 = 52.8

=> 5x . 5 - 52 . 17 = 52 . 8

=> 5x . 5 = 52.8 + 52 . 17

=> 5x . 5 = 52(8 + 17)

=> 5x . 5 = 52 . 52

=> 5x = \(\frac{5^2\cdot5^2}{5}=5^3\)

=> x = 3

d) 84 + (12 - 3.x) : 6 = 85

=> 84 + (12 - 3.x) = 510

=> 12 - 3.x = 426

=> 3.x = -414

=> x = -138

e) (x + 1) + (x + 2) + (x + 3) + ... + (x + 99) + (x + 100) = 5150

=> x + 1 + x + 2 + x + 3 + ... + x + 99 + x + 100 = 5150

=> (x + x +  .... + x) + (1 + 2 + 3+ ... + 100) = 5150

=> 100x + 5050 = 5150

=> 100x = 5150 - 5050 = 100

=> x = 1

Bài làm:

\(a,125-5.\left(x+10\right)=12\)

\(\Rightarrow5.\left(x+10\right)=125-12\)

\(\Rightarrow5.\left(x+10\right)=113\)

\(\Rightarrow x+10=\frac{113}{5}\)

\(\Rightarrow x=\frac{63}{5}\)

\(b,\left(x-1\right)^2=4\)

\(\Rightarrow\left(x-1\right)^2=2^2\)

\(\Rightarrow\orbr{\begin{cases}x-1=2\\x-1=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-1\end{cases}}\)

\(c,5^{x+1}-5^2.17=5^2.8\)

\(\Rightarrow5^{x+1}-425=200\)

\(\Rightarrow5^{x+1}=200+425\)

\(\Rightarrow5^{x+1}=625\)

\(\Rightarrow5^{x+1}=5^4\)

\(\Rightarrow x+1=4\)

\(\Rightarrow x=3\)

\(d,84+\left(12-3.x\right):6=85\)

\(\left(12-3x\right):6=85-84\)

\(\left(12-3x\right):6=1\)

\(12-3x=6\)

\(3x=6\)

\(x=2\)

\(e,\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+99\right)+\left(x+100\right)=5150\)

\(100.x+\left(1+2+3+...+99+100\right)=5150\)

\(100.x+5050=5150\)

\(100.x=5150-5050\)

\(100.x=100\)

\(x=1\)

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