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cường vănnn
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Nguyễn Việt Lâm
31 tháng 12 2021 lúc 13:57

\(\dfrac{2019x}{xy+2019x+2019}+\dfrac{y}{yz+y+2019}+\dfrac{z}{xz+z+1}\)

\(=\dfrac{2019xz}{xyz+2019xz+2019z}+\dfrac{xz.y}{xz.yz+xz.y+2019xz}+\dfrac{z}{xz+z+1}\)

\(=\dfrac{2019xz}{2019+2019xz+2019z}+\dfrac{2019}{2019z+2019+2019xz}+\dfrac{z}{xz+z+1}\)

\(=\dfrac{xz}{1+xz+z}+\dfrac{1}{z+1+xz}+\dfrac{z}{xz+z+1}\)

\(=\dfrac{xz+z+1}{xz+z+1}=1\)

Nguyễn Hoàng Châu
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HT.Phong (9A5)
28 tháng 6 2023 lúc 11:11

Bài 2: 

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

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

3) \(4x^2-9=\left(2x\right)^2-3^2=\left(2x+3\right)\left(2x-3\right)\)

4) \(9-25x^2=3^2-\left(5x\right)^2=\left(3-5x\right)\left(3+5x\right)\)

5) \(4x^2-25=\left(2x\right)^2-5^2=\left(2x+5\right)\left(2x-5\right)\)

6) \(9x^2-36=\left(3x\right)^2-6^2=\left(3x-6\right)\left(3x+6\right)\)

7) \(\left(3x\right)^2-y^2=\left(3x-y\right)\left(3x+y\right)\)

8) \(x^2-\left(2y\right)^2=\left(x-2y\right)\left(x+2y\right)\)

9) \(\left(2x\right)^2-y^2=\left(2x-y\right)\left(2x+y\right)\)

10) \(\left(3x\right)^2-9y^4=\left(3x\right)^2-\left(3y^2\right)^2=\left(3x-3y^2\right)\left(3x+3y^2\right)\)

HT.Phong (9A5)
28 tháng 6 2023 lúc 11:29

Bài 2: 

21) \(\left(\dfrac{x}{3}-\dfrac{y}{4}\right)\left(\dfrac{x}{3}+\dfrac{y}{4}\right)=\left(\dfrac{x}{3}\right)^2-\left(\dfrac{y}{4}\right)^2=\dfrac{x^2}{9}-\dfrac{y^2}{16}\)

22) \(\left(\dfrac{x}{y}-\dfrac{2}{3}\right)\left(\dfrac{x}{y}+\dfrac{2}{3}\right)=\left(\dfrac{x}{y}\right)^2-\left(\dfrac{2}{3}\right)^2=\dfrac{x^2}{y^2}-\dfrac{4}{9}\)

23) \(\left(\dfrac{x}{2}+\dfrac{y}{3}\right)\left(\dfrac{x}{2}-\dfrac{y}{3}\right)=\left(\dfrac{x}{2}\right)^2-\left(\dfrac{y}{3}\right)^2=\dfrac{x^2}{4}-\dfrac{y^2}{9}\)

24) \(\left(2x-\dfrac{2}{3}\right)\left(\dfrac{2}{3}+2x\right)=\left(2x-\dfrac{2}{3}\right)\left(2x+\dfrac{2}{3}\right)=\left(2x\right)^2-\left(\dfrac{2}{3}\right)^2=4x^2-\dfrac{4}{9}\)

25) \(\left(2x+\dfrac{3}{5}\right)\left(\dfrac{3}{5}-2x\right)=\left(\dfrac{3}{5}+2x\right)\left(\dfrac{3}{5}-2x\right)=\left(\dfrac{3}{5}\right)^2-\left(2x\right)^2=\dfrac{9}{25}-4x^2\)

26) \(\left(\dfrac{1}{2}x-\dfrac{4}{3}\right)\left(\dfrac{4}{3}+\dfrac{1}{2}x\right)=\left(\dfrac{1}{2}x-\dfrac{4}{3}\right)\left(\dfrac{1}{2}x+\dfrac{4}{3}\right)=\left(\dfrac{1}{2}x\right)^2-\left(\dfrac{4}{3}\right)^2=\dfrac{1}{4}x^2-\dfrac{16}{9}\)

27) \(\left(\dfrac{2}{3}x^2-\dfrac{y}{2}\right)\left(\dfrac{2}{3}x^2+\dfrac{y}{2}\right)=\left(\dfrac{2}{3}x^2\right)^2-\left(\dfrac{y}{2}\right)^2=\dfrac{4}{9}x^4-\dfrac{y^2}{4}\)

28) \(\left(3x-y^2\right)\left(3x+y^2\right)=\left(3x\right)^2-\left(y^2\right)^2=9x^2-y^4\)

29) \(\left(x^2-2y\right)\left(x^2+2y\right)=\left(x^2\right)^2-\left(2y\right)^2=x^4-4y^2\)

30) \(\left(x^2-y^2\right)\left(x^2+y^2\right)=\left(x^2\right)^2-\left(y^2\right)^2=x^4-y^4\)

⭐Hannie⭐
28 tháng 6 2023 lúc 12:30

Bài `3`

\(1,\left(2x+1\right)^2+\left(2x-1\right)^2\\ \left[\left(2x\right)^2+4x+1^2\right]+\left[\left(2x\right)^2-4x+1^2\right]\\ =4x^2+4x+1+4x^2-4x+1\\ =8x^2+2\)

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

\(3,\left(x+2y\right)^2-\left(x-2y\right)^2\\ =\left[\left(x+2y\right)+\left(x-2y\right)\right]\left[\left(x+2y\right)-\left(x-2y\right)\right]\\ =\left(x+2y+x-2y\right)\left(x+2y-x+2y\right)\\ =2x.4y=8xy\)

\(4,\left(3x+y\right)^2+\left(x-y\right)^2\\ =\left[\left(3x\right)^2+6xy+y^2\right]+\left[\left(x^2-2xy+y^2\right)\right]\\ =6x^2+6xy+y^2+x^2-2xy+y^2\\ =7x^2+4xy+2y^2\)

\(5,-\left(x+5\right)^2-\left(x-3\right)^2\\ =-\left(x^2+10x+5^2\right)-\left(x^2-6x+3^2\right)\\ =-x^2-10x-25-x^2+6x-9\\ =-2x^2+16x-34\)

\(6,\left(3x-2\right)^2-\left(3x-1\right)^2\\ =\left[\left(3x-2\right)+\left(3x-1\right)\right]\left[\left(3x-2\right)-\left(3x-1\right)\right]\\ =\left(3x-2+3x-1\right)\left(3x-2-3x+1\right)\\ =\left(6x-3\right)\left(-1\right)=-6x+3\)

`@ Kidd`

Jungkook Jeon
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Vô danh
27 tháng 3 2022 lúc 10:02

Đề sai r bn

Trần Phan Hồng Anh
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Nguyễn Hoàng Minh
17 tháng 12 2021 lúc 14:27

\(\Leftrightarrow\left|13-x\right|=9\Leftrightarrow\left[{}\begin{matrix}13-x=9\\x-13=9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=22\end{matrix}\right.\)

Nguyễn Lê Phước Thịnh
17 tháng 12 2021 lúc 14:27

=>|13-x|=9

\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=22\end{matrix}\right.\)

Hải Đăng Nguyễn
17 tháng 12 2021 lúc 14:29

 

 

hương giang phạm lưu
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Huỳnh Mỹ Tiên
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Ngô Bá Hùng
10 tháng 8 2023 lúc 10:36

 1 C
 2 C
 3 B
 6 A
7 C
 8 C
 9 C
10 D
11 B
 12 A
 13B
14 C
15 C
16 B
17 C
18 D
19 A
20 D
21 D
22 B
23 C
24 A
 25 C
26 C
27 B
28 B
 29 B

30 D

Nguyễn Nhi
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︵✰Ah
15 tháng 1 2022 lúc 9:44

1.what do you think about the environment in your town?
In my hometown , people are not aware of environmental protection, there are still many people who are unaware and throw their garbage out, besides, there are still people who pick up trash and throw it in the right place.

Chanh Xanh
15 tháng 1 2022 lúc 9:44

Every day on the news reports, the news is everywhere, saying phrases like melting ice, global warming, acid rain, global climate change or adding new lands to become industrial landfills. All are consequences of environmental pollution.

ph@m tLJấn tLJ
15 tháng 1 2022 lúc 9:46

My environment is small but very clean

Nguyễn Nhi
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Lihnn_xj
20 tháng 1 2022 lúc 16:19

You can refer this one:

Recycle/Reuse Your Books. ...
Ditch the Paper. ...
Buy a Water Bottle. ...
Turn Off Your Phone. ...
Recycle. ...
Avoid Public Transport When Possible. ...
Save Water. ...
Save Electricity.

Huyền ume môn Anh
20 tháng 1 2022 lúc 16:18

We should grow a lot of tree

Lợi Lê Minh
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An Lê
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Sinphuya Kimito
22 tháng 5 2022 lúc 13:42

11,9

100,0

30,7

48,7

98,5

69,9

69,7

97,0

(:!Tổng Phước Ru!:)
22 tháng 5 2022 lúc 13:43

11,9

100,0

30,7

48,7

98,6

69,9

69,7

97,0

Hồ Hoàng Khánh Linh
22 tháng 5 2022 lúc 13:45

11,9

100,0

30,7

48,7

98,5

69,9

69,7

97,0