a) 1 267 + 99 + 501 = 1 267 + (99 + 501)

                                = 1 267 + 600 = 1 867

     25 x 14 x 4 = (25 x 4) x 14

                       = 100 x 14 = 1 400

b) 3 905 x (50 – 1) = 3 905 x 50 – 3 905 x 1

                             = 195 250 – 3 905 = 191 345

     270 : ( 27 x 2 ) = 270 : 27 : 2

                             = 10 : 2 = 5

c) 115 x 58 + 115 x 42 = 115 x (58 + 42)

                                   = 115 x 100 = 11 500

136 x 67 – 136 x 66 = 136 x (67 – 66)

                              = 136 x 1 = 136

`@` `\text {Ans}`

`\downarrow`

`2023 \times 14 + 2023 \times 83+97`

`= 2023 \times (14+83) + 97`

`= 2023 \times 97 + 97`

`= 196231 +97`

`= 196328`

`78 \times 31+78 \times 24+78 \times 17+78 \times 22 \times 72`

`= 78 \times (31+24+17+22 \times 72)`

`= 78 \times (31+24+17+1584)`

`= 78 \times 1656`

`= 129168`

`371 \times 69+371 \times 14+629 \times 83`

`= 371 \times (69+14) + 629 \times 83`

`= 371 \times 83 + 629 \times 83`

`= 83 \times (371+629)`

`= 83 \times 1000`

`= 83000`

`91 \times 51+49 \times 163-49 \times 72`

`= 91 \times 51 + 49 \times (163-72)`

`= 91 \times 51+49 \times 91`

`= 91 \times (51+49)`

`= 91 \times 100`

`= 9100`

`3 \times 12 \times 17 + 4 \times 9 \times 81 + 2 \times 6 \times 6`

`= 9 \times 4 \times 17 + 4 \times 9 \times 81 + 4 \times 9 \times 2`

`= 9 \times 4 \times (17+81+2)`

`= 36 \times 100` 

`= 3600`

`42 \times 17 + 58 \times 83 \times 42 \times 83 + 42 \times 83 + 17`

`= 17 \times (42+58) + 42 \times 83 \times (58 \times 83 +1)`

`= 17 \times 100 + 3486 \times 4815`

`= 1700 + 16785090`

`= 16786790`

2: =>2x^2-8x+4=x^2-4x+4 và x>=2

=>x^2-4x=0 và x>=2

=>x=4

3: \(\sqrt{x^2+x-12}=8-x\)

=>x<=8 và x^2+x-12=x^2-16x+64

=>x<=8 và x-12=-16x+64

=>17x=76 và x<=8

=>x=76/17

4: \(\sqrt{x^2-3x-2}=\sqrt{x-3}\)

=>x^2-3x-2=x-3 và x>=3

=>x^2-4x+1=0 và x>=3

=>\(x=2+\sqrt{3}\)

6:

=>\(\sqrt{\left(\sqrt{x-1}+1\right)^2}-\sqrt{\left(\sqrt{x-1}-1\right)^2}=-2\)

=>\(\sqrt{x-1}+1-\left|\sqrt{x-1}-1\right|=-2\)

=>\(\left|\sqrt{x-1}-1\right|=\sqrt{x-1}+1+2=\sqrt{x-1}+3\)

=>1-căn x-1=căn x-1+3 hoặc căn x-1-1=căn x-1+3(loại)

=>-2*căn x-1=2

=>căn x-1=-1(loại)

=>PTVN

1) ĐK: \(x\ge\dfrac{5}{2}\)

pt <=> \(x-4=\sqrt{2x-5}\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge4\\\left(x-4\right)^2=2x-5\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge4\\x^2-8x+16=2x-5\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge4\\x^2-10x+21=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\ge4\\\left(x-3\right)\left(x-7\right)=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge4\\\left[{}\begin{matrix}x=3\left(l\right)\\x=7\left(n\right)\end{matrix}\right.\end{matrix}\right.\)

Vậy, pt có nghiệm duy nhất là x=7

2) ĐK: \(2x^2-8x+4\ge0\)

pt <=> \(\left\{{}\begin{matrix}x\ge2\\2x^2-8x+4=x^2-4x+4\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge2\\x^2-4x=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\ge2\\x\left(x-4\right)=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge2\\\left[{}\begin{matrix}x=0\left(l\right)\\x=4\left(n\right)\end{matrix}\right.\end{matrix}\right.\)

Vậy, pt có nghiệm duy nhất là x=4

3) ĐK: \(x\ge3\)

pt <=> \(\left\{{}\begin{matrix}x\le8\\x^2+x-12=x^2-16x+64\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\le8\\17x=76\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\le8\\x=\dfrac{76}{17}\left(n\right)\end{matrix}\right.\) 

Vậy, pt có nghiệm duy nhất là \(x=\dfrac{76}{17}\)\(\)

4) ĐK: \(x\ge3\)

pt <=> \(x^2-3x-2=x-3\)

\(\Leftrightarrow x^2-4x+1=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=2+\sqrt{3}\left(n\right)\\x=2-\sqrt{3}\left(l\right)\end{matrix}\right.\)

(100+42) x42+(200-58)x58

=142x42+142x58

=142x(42+58)

=142x100

=14200

\(\left(100+42\right)\times42+\left(200-58\right)\times58\)

\(=142\times42+142\times58\)

\(=142\times\left(42+58\right)\)

\(=142\times100=14200\)

142 x 42 + 142 x 58

= 142 x (42 +58)

=142 X 100

=14200

K NHÉ +kb

12,7 + 12,7 + 12,7 + 12,7 x 8 - 12,7

= 12,7 x (1 + 1 + 1 + 8 - 1)

= 12,7 x 10

= 127

(100 + 42) x 42 + (200 - 58) x 58

= 142 x 42 + 142 x 58 

= 142 x (42 x 58)

= 142 x 100

= 14200

a.

12,7 + 12,7 + 12,7 + 12,7 x 8 - 12,7

= 12,7 x ( 1 + 1 + 1 + 8 - 1 )

= 12,7 x 10

= 127

b.

( 100 + 42 ) x 42 + ( 200 - 58 ) x 58

= 142 x 42 + 142 x 58

= 142 x ( 42 + 58 )

= 142 x 100

= 14200

(100 + 42 ) x 42 + ( 200 - 58 ) x 58 

= 142 x 42 + 142 x 58

= 142 x ( 42 + 58 )

= 142 x 100

= 14200

( 100 + 42 ) x 42 + ( 200 - 58 ) x 58

= 142 x 42 + 142 x 58

= 142 x ( 42 + 58 )

= 142 x 100

= 14200

(100 + 42 ) x 42 + ( 200 - 58 ) x 58 

= 142 x 42 + 142 x 58

= 142 x ( 42 + 58 )

= 14 200

Mong các bạn ủng hộ nha !!!! Ai đi qua xin để lại 1 k nhaaaa !!!

Làm ơn hãy k mk nhé !! 

42 - x = 58

x = 42 - 58

x = -16

b) x + 13 = -2

x = -2 - 13

x = -15

42-x=58

x=42-58

x=-16

x+13=-2

x=-2+13

x=11

a. 64 x 25 + 35 x 25 + 25

= 64 x 25 + 35 x 25 + 25 x 1

= 25 x ( 64 + 35 + 1 )

= 25 x 100 

= 2500

b. 58 x 42 + 32 x 8 + 5 x 16

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

= 42 x 43 + 57 x 43 + 43 x 1 - 90

= 43 x ( 42 + 57 +1 ) - 90

= 43 x 100 - 90

= 4300 - 90

= 4210

d. 456 : 2 x 181456 : 3 - 102

Trả lời:

a,\(64\times25+35\times25+25\)

\(=25\times\left(64+35+1\right)\)

\(=25\times100\)

\(=2500\)

b,\(58\times42+32\times8+5\times16\)

\(=2436+256+80\)

\(=2772\)

c,\(\left(42\times43+57\times43+43\right)-360\div4\)

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

\(=43\times100-90\)

\(=4300-90\)

\(=4210\)

d,\(456\div2\times181456\div3-102\)

\(=228\div3\times181456-102\)

\(=76\times181456-102\)

\(=13790656-102\)

\(=13790554\)

a,64 x 25 + 35 x 25 +25

=25x(64+35+1)

=25x100

=250

b, 58 x 42 +32 x 8 +5 x 16

=2772

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

=43x(42+57+1) - 360 :4

= 43 x 100 -90

=4300-90

=4210

d,456:2 x 181456:3 -102

=228x181456:3-102

=13790656-102

=13790554

58 x 42 + 32 x 8 + 5 x 16

= 58 x 42 + 32 x 8 + 5 x 2 x 8

= 58 x42 + 32 x 8 + 10 x 8

= 58 x 42 + ( 32 + 10 ) x 8

= 58 x 42 + 42 x 8

= 42 x ( 58 + 8 )

= 42 x 66

= 2772