a) \(ĐKXĐ:\hept{\begin{cases}x\ne\pm2\\x\ne-\frac{13}{6}\end{cases}}\)

Đặt \(A=\left(\frac{1+2x}{4+2x}-\frac{x}{3x-6}+\frac{2x^2}{12-3x^2}\right)\cdot\frac{24-12x}{6+13x}\)

\(\Leftrightarrow A=\left(\frac{1+2x}{2\left(x+2\right)}-\frac{x}{3\left(x-2\right)}-\frac{2x^2}{3\left(x^2-4\right)}\right)\cdot\frac{12\left(2-x\right)}{6+13x}\)

\(\Leftrightarrow A=\frac{3\left(2x^2-3x-2\right)-2\left(x^2+2x\right)-4x^2}{6\left(x-2\right)\left(x+2\right)}\cdot\frac{12\left(2-x\right)}{6+13x}\)

\(\Leftrightarrow A=\frac{-2\left(6x^2-9x-6-2x^2-4x-4x^2\right)}{\left(x+2\right)\left(6+13x\right)}\)

\(\Leftrightarrow A=\frac{-2\left(-6-13x\right)}{\left(x+2\right)\left(6+13x\right)}\)

\(\Leftrightarrow A=\frac{2}{x+2}\)

b) Để biểu thức nhận giá trị dương

\(\Leftrightarrow\frac{2}{x+2}>0\)

\(\Leftrightarrow x+2>0\)

\(\Leftrightarrow x>-2\)

Vậy để biểu thức có giá trị dương thì \(x>-2\)

1. Where do you study ? - Currently, I'm studying at Co Nhue 2 Secondary School.

2. What subject do you ? Why ? 

- I to study Literature the most because they aim to educate about morality, personality and ideology through literary works rich in emotions and images.

3. How many people in your family ? Who are they ?

- My family consists of a total of four people : dad, mom, me anh my younger brother. 

1,I study at cam vu primary school

2,I english best because I want to talk with foreign friends

3,there are five people in my family.It is a grandmother,father,mother,sister and me

Vì \(\overline{x216y}\)chia 2 dư 1 \(\Rightarrow y\)là số lẻ (1)

mà \(\overline{x216y}\)chia 5 dư 3 \(\Rightarrow y\in\left\{3;8\right\}\)(2)

Từ (1) và (2) \(\Rightarrow y=3\)

Ta có: \(\overline{x2163}\)chia 9 dư 5 \(\Rightarrow\overline{x2163}-5=\overline{x2158}⋮9\)

\(\Rightarrow x+2+1+5+8=16+x⋮9\)

\(\Rightarrow x=2\)

Vậy số cần tìm là \(22163\)

Ta có :

\(\overline{x216y}\)chia 2 dư 1 \(\Rightarrow y\)là 1 số lẻ ( * )

\(\overline{x216y}\)chia 5 dư 3 \(\Rightarrow y\in\left\{3;8\right\}\)( ** )

Từ ( * ) và ( ** ) \(\Rightarrow y=3\)

Ta lại có :

\(\overline{x2163}\)chia 9 dư 5 \(\Rightarrow\overline{x2163}-5=\overline{x2158}⋮9\)

\(\Rightarrow x+2+1+6+3⋮9\)

\(\Rightarrow x+16⋮9\)

\(\Rightarrow x=2\)

Vậy số cần tìm là : \(22163\)

Bài 11:

1) Sửa lại đề là: \(A=127^2+146.127+73^2\)

\(\Rightarrow A=127^2+2.127.73+73^2\)

\(\Rightarrow A=\left(127+73\right)^2\)

\(\Rightarrow A=200^2\)

\(\Rightarrow A=40000\)

Vậy \(A=40000.\)

2) Sửa lại đề là: \(B=9^8.2^8-\left(18^4-1\right).\left(18^4+1\right)\)

\(\Rightarrow B=\left(9.2\right)^8-\left[\left(18^4\right)^2-1^2\right]\)

\(\Rightarrow B=18^8-\left(18^8-1\right)\)

\(\Rightarrow B=18^8-18^8+1\)

\(\Rightarrow B=0+1\)

\(\Rightarrow B=1\)

Vậy \(B=1.\)

4) \(D=\left(3+1\right).\left(3^2+1\right).\left(3^4+1\right).\left(3^8+1\right).\left(3^{16}+1\right)\)

\(\Rightarrow2D=\left(3-1\right).\left(3+1\right).\left(3^2+1\right).\left(3^4+1\right).\left(3^8+1\right).\left(3^{16}+1\right)\)

\(=\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\)

\(=\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\)

\(=\left(3^8-1\right)\left(3^8+1\right)\left(3^{16}+1\right)\)

\(=\left(3^{16}-1\right)\left(3^{16}+1\right)\)

\(=3^{32}-1\)

\(\Rightarrow D=\frac{3^{32}-1}{2}\)

Find the wrong sentences( Tìm các câu sai )

1. She has two sausage .   > Sausages

2.How old is you?  > are

3. My Mother is watching TV.  > \(\varnothing\)

4.My brother and my sister is go to Ba Na Hills last week. > went 

5.He has a stomach ache. > \(\varnothing\)

1, She has two sausage  =>  Sausages 

2, How old is you ? => Are 

3, My mother is watching TV  ( không có lỗi sai ) 

4, My brother and my sister is go to Ba Na Hills last week => Are 

5, He has a stomach ache (Không có lỗi sai ) 

Học tốt ^^^
 

\(\left(3+\sqrt{5}\right)\left(\sqrt{10}-\sqrt{2}\right)\sqrt{3-\sqrt{5}}\)

\(=\left(3+\sqrt{5}\right).\sqrt{2}.\left(\sqrt{5}-\sqrt{1}\right).\sqrt{3-\sqrt{5}}\)

\(=\left(3+\sqrt{5}\right).\left(\sqrt{5}-1\right).\sqrt{6-2\sqrt{5}}\)

\(=\left(3+\sqrt{5}\right).\left(\sqrt{5}-1\right).\sqrt{5-2\sqrt{5}+1}\)

\(=\left(3+\sqrt{5}\right).\left(\sqrt{5}-1\right)\left(\sqrt{5}-1\right)\)

\(=\frac{6+2\sqrt{5}}{2}.\left(\sqrt{5}-1\right)^2\)

\(=\frac{\left(\sqrt{5}+1\right)^2.\left(\sqrt{5}-1\right)^2}{2}=\frac{\left[\left(\sqrt{5}-1\right)\left(\sqrt{5}+1\right)\right]^2}{2}\)

\(=\frac{\left(5-1\right)^2}{2}=\frac{4^2}{2}=8\)

a) Ta có \(\frac{x}{3}=\frac{y}{5}=\frac{x+y}{3+5}=-\frac{32}{8}=-4\)(dãy tỉ số bằng nhau)

=> x = -12 ; b = -20

b) Ta có : \(\frac{x}{y}=\frac{9}{11}\Rightarrow\frac{x}{9}=\frac{y}{11}=\frac{x+y}{9+11}=\frac{60}{20}=3\)(dãy tỉ số bằng nhau)

=> x = 27 ; y = 33

a. Áp dụng t/c của dãy tỉ số bằng nhau, ta có :

\(\frac{x}{3}=\frac{y}{5}=\frac{x+y}{3+5}=\frac{-32}{8}=-4\)

Suy ra :

+) \(\frac{x}{3}=-4\Leftrightarrow x=-12\)

+) \(\frac{y}{5}=-4\Leftrightarrow y=-20\)

b. \(\frac{x}{y}=\frac{9}{11}\Leftrightarrow\frac{x}{9}=\frac{y}{11}\)

Áp dụng t/c của dãy tỉ số bằng nhau, ta có :

\(\frac{x}{9}=\frac{y}{11}=\frac{x+y}{9+11}=\frac{60}{20}=3\)

Suy ra : 

+) \(\frac{x}{9}=3\Leftrightarrow x=27\)

+) \(\frac{y}{11}=3\Leftrightarrow y=33\)