Ta có: \(\left(x-18\right)-42=\left(23-43\right)-\left(70+x\right)\)

\(\Leftrightarrow x-18-42=23-43-70-x\)

\(\Leftrightarrow x-60=-90-x\)

\(\Leftrightarrow x+x=-90+60\)

\(\Leftrightarrow2x=-30\)

hay x=-15

Vậy: x=-15

\(\left(x-18\right)-42=\left(23-43\right)-\left(70+x\right)\)

\(\Leftrightarrow x-18-42=-20-70-x\)

\(\Leftrightarrow x-60=-90-x\)

\(\Leftrightarrow x+x=-90+60\)

\(\Leftrightarrow2x=-30\)

\(\Leftrightarrow x=-15\)

Ta có: 

 x=-15

Vậy: x=-15

phép tính này có quy tắc :

nhân chia trước, cộng trừ sau.

trong ngoặc trc ngoài ngoặc sau

tíc mình nha

(42 x 43 + 43 x 57 + 43) - 360 : 4

= 4426549 - 360 : 4

= 4426549 - 90

= 4426459

(372 - 19 x 4 +  (981 : 9 - 13)

= 296         +         96

= 392

456  : 2 x 18 + 456 : 3 - 102

= 4104         +             50

=  4154

>_< học tốt

(42*43+43*57+43)-360:4 

=42*43+43*57+43*1 -360:4

= 43*(42+57+1)-360:9

=43*100-90

a) \(\left(42\times43+43\times57+43\right)-360:4\)

\(=43\times\left(42+57+1\right)-90\)

\(=43\times100-90\)

\(=4300-90\)

\(=4210\)

b) \(\left(372-19\times4\right)+\left(981:9-13\right)\)

\(=\left(4\times93-19\times4\right)+\left(109-13\right)\)

\(=4\times\left(93-19\right)+109-13\)

\(=4\times74+109-13\)

\(=296+109-13\)

\(=392\)

c) \(456:2\times18+456:3-102\)

\(=456\times\frac{1}{2}\times18+456\times\frac{1}{3}-102\)

\(=456\times\left(\frac{1}{2}\times18+\frac{1}{3}\right)-102\)

\(=456\times\left(9+\frac{1}{3}\right)-102\)

\(=456\times\frac{28}{3}-102\)

\(=4256-102\)

\(=4154\)

ko bk tính nhanh!

a)( 42 x 43 + 57+43 ) - 360 :4                                                 b) (372 - 19 x 4 ) + ( 981 : 9 - 13 )

  = 43 x (42 + 57 +1 ) - 90                                                       = (372 - 76 )  + ( 109 - 13) 

  = 43 x 100 - 90                                                                     = 296 + 96   

  = 4300 - 90                                                                          = 392   

  = 4210

dài quá làm hộ câu 1-5 thoy

1) x=21-13 

    x=8

2)x=-55+41

   x=-14

3)x=-21+15

    x=-6

4)x=3-3

    x=0

5) x= -98-37

   x=-135

15 ) 57 - ( x - 46 ) = - 13

       57 - x + 46 = -13

       103 - x = -13

       x  = 103 + 13

       x  =  116

16 ) -x - 23 = -38 - 42

       - ( x + 23 )=- ( 38 + 42)

            x + 23 = 38 + 42

             x       = 38 + 42 -23

              x      =  57

17 ) x - ( - 7 ) = -4 – 14

      X + 7 = -18

       X = -18-7

        X  = -25

18 ) 18 - x = -8 - ( - 15 )

       18 – x = 7

               X = 18 – 7

                X = 11

19 ) 45 - (  x + 17 ) = - 26

        45 – x - 17  = -26

        28 – x = -26

                X = 28 + 26

                X = 54

20 ) 3. ( x + 5 ) - x - 11 = 24

       3x +15 –x – 11 = 24

       2x + 4 =24

        2x = 24 – 4

        2x = 20

          X = 20 : 2

         X = 10

21 ) 14 - ( x - 7 ) = - 8 - ( - 9 )

       14 – x + 7 = 1

       21 – x = 1

               X = 21 – 1

               X = 20

22 ) 15 - ( x - 2 ) =  - 7 + 8

         15 – x + 2 = 1

            17 – x = 1

                    X = 17 – 1

                    X = 16

6)  x + ( - 71 ) = ( - 55 ) + 85 

      X – 71 = 30

      X = 30 + 71

      X = 101

7 ) x - ( - 45 ) = - 63 + 27

 X +45 = -16

 X = -16 -45

X = - 61

6)  x + ( - 71 ) = ( - 55 ) + 85

X=30+71=101

7 ) x - ( - 45 ) = - 63 + 27

X=-36-45=-81

8) x + 29 = 43 + ( - 23 )

X=20-29=-9

9 ) x + ( - 47 ) = ( - 62 ) – 17

X=-79+47=-32

10 ) x + 21 = ( - 43 ) + 43

X=0-21=-21

11 ) 31 + x = 45 – 81

 X=-36-31=-67

12 ) x - 12 = ( - 8 ) + (- 7 )

 X=-15+12=-3

13 ) 23 - x = 24 - ( - 16 )

X=23-40=-17

14 ) - 15 - ( - 21 - 3x ) = - 63 -15+21+3x=-63 21+3x=-63-(-15)

 21+3x=-48

3x=-48-21

3x=-69

X=-69 : 3

X=-23

Câu 1:

(x-18)-42=(23-43)-(70+x)

x-18-42=-20-70-x

x-18-42+20+70+x=0

2x+30=0

2x=-30

x=-15

Câu 2 : Tính tổng

a,1+(-2)+3+(-4)+...+19+(-20)

Từ 1 đến -20 có 20 số hạng 

=> Có 10 nhóm

=>(1-2)+(3-4)+...+(19-20)

=-1-1-1-....-1

=-1.10

=-10

b,c,d,e làm tương tự ta được : 

b) -50

c) -24

d) -99

e) -100

Câu 3 : Tìm x

a)\(x\left(x+7\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+7=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=0\\x=-7\end{cases}}}\)

Vậy : x={0;-7}

b)\(\left(x+12\right)\left(x-3\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x+12=0\\x-3=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=-12\\x=3\end{cases}}}\)

Vậy:....

c)\(\left(-x+5\right)\left(3-x\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}-x+5=0\\3-x=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=5\\x=3\end{cases}}}\)

Vậy:......

d)\(x\left(2+x\right)\left(7-x\right)=0\)

\(\Leftrightarrow\hept{\begin{cases}x=0\\2+x=0\\7-x=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=0\\x=-2\\x=7\end{cases}}}\)

Vậy:.....

e) \(\left(x-1\right)\left(x+2\right)\left(-x-3\right)=0\)

\(\Leftrightarrow\hept{\begin{cases}x-1=0\\x+2=0\\-x-3=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=1\\x=-2\\x=-3\end{cases}}}\)

Vậy:........

Câu 4 : 

a) ab+ac

=a(b+c)

b) ab-ac+ad

=a(b-c+d)

c) ax-bx-cx+dx

=x(a-b-c+d)

d) a(b+c)-d(b+c)

=(b+c)(a-d)

e) ac-ad+bc-bd

=a(c-d)+b(c-d)

=(c-d)(a+b)

f) ax+by+bx+ay

=x(a+b)+y(a+b)

=(a+b)(x+y)

#H

bạn giải chi tiết giúp mik ý d,e câu 2 đc k.Mik k hiểu chỗ đó

1: \(=75\left(27+25-2\right)=75\cdot50=3750\)

2: \(=15\left(23+37\right)+55=15\cdot60+55=955\)

3: \(=36\cdot14+36\cdot17+36\cdot69\)

\(=36\cdot100=3600\)

4: \(=200\cdot\left(32+68\right)=200\cdot100=20000\)

\(a,\Rightarrow x+35=103\\ \Rightarrow x=68\\ b,\Rightarrow x+7=42\\ \Rightarrow x=35\\ c,\Rightarrow x-15=9\\ \Rightarrow x=24\\ d,\Rightarrow x+23=31\\ \Rightarrow x=8\\ e,\Rightarrow18-x=6\\ \Rightarrow x=12\\ f,\Rightarrow x+14=34\\ \Rightarrow x=20\\ g,\Rightarrow2x+1=21\\ \Rightarrow x=11\\ h,\Rightarrow3\left(x+1\right)=99\\ \Rightarrow x+1=33\Rightarrow x=32\\ i,5\left(x-3\right)=25\\ \Rightarrow x-3=5\\ \Rightarrow x=8\\ j,\Rightarrow8\left(2x+7\right)=88\\ \Rightarrow2x+7=11\Rightarrow x=2\\ k,\Rightarrow5\left(x+4\right)=85\\ \Rightarrow x+4=17\\ \Rightarrow x=13\)

\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)

\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)

\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)

\(< =>\frac{35}{18}+1-\frac{17}{18}\)

\(< =>\frac{53}{18}-\frac{17}{18}\)

\(< =>2\)

\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)

\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)

\(< =>\frac{2}{7}\cdot\frac{1}{3}\)

\(< =>\frac{2}{21}\)

\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)

\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)

\(< =>\frac{15}{4}\)

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