Mn ơi giúp mình với ạ
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1 his illness, he cannot come
2 her busyness, she couldn't help us
3 his illness, he tries to go to school on time
4 the bad weather, we tried to finish the work on the road
5 the bad weather, we got to the station late
6 the old house, she liked it
7 not wearing any shoes, Carol ran outside to see what was happening
8 being afraid of flying, Fiona had to get on the plane
9 Although the girl works hard from morning till night, her step mother isn't happy
10 Rice is grown in tropical countries
11 The countryside is more peaceful than the city, but I prefer living in the city
12 A lot of Chung Cakes are made on Tet holiday
13 Although Little Pea works hard from morning till night, her mother isn't happy
14 An ordinary car goes more slowly than a sport car
15 An's sister performs better than him
16 Many fesstivals are held by the Thai every year
17 I enjoy hanging out with my best friends
18 If you don't hurry up, you will be late for the race
\(a,A=\dfrac{x+2\sqrt{x}+1+x-2\sqrt{x}+1-3\sqrt{x}-1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\\ A=\dfrac{2x-3\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=\dfrac{\left(\sqrt{x}-1\right)\left(2\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=\dfrac{2\sqrt{x}-1}{\sqrt{x}+1}\\ b,A=\dfrac{2\left(\sqrt{x}+1\right)-3}{\sqrt{x}+1}=2-\dfrac{3}{\sqrt{x}+1}\in Z\\ \Leftrightarrow\sqrt{x}+1\inƯ\left(3\right)=\left\{1;3\right\}\left(\sqrt{x}+1\ge1\right)\\ \Leftrightarrow\sqrt{x}\in\left\{0;2\right\}\\ \Leftrightarrow x\in\left\{0;4\right\}\left(tm\right)\)
a) \(A=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}+\dfrac{\sqrt{x}-1}{\sqrt{x}+1}-\dfrac{3\sqrt{x}+1}{x-1}\)
\(\Rightarrow A=\dfrac{\left(\sqrt{x}+1\right)^2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}+\dfrac{\left(\sqrt{x}-1\right)^2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}-\dfrac{3\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(\Rightarrow A=\dfrac{x+2\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}+\dfrac{x-2\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}-\dfrac{3\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(\Rightarrow A=\dfrac{x+2\sqrt{x}+1+x-2\sqrt{x}+1-3\sqrt{x}-1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(\Rightarrow A=\dfrac{2x-3\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(\Rightarrow A=\dfrac{\left(2x-2\sqrt{x}\right)-\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(\Rightarrow A=\dfrac{2\sqrt{x}\left(\sqrt{x}-1\right)-\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(\Rightarrow A=\dfrac{\left(2\sqrt{x}-1\right)\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(\Rightarrow A=\dfrac{2\sqrt{x}-1}{\sqrt{x}+1}\)
14. I don't eat lunch, my brother doesn't eat lunch, either
→ Neither do I eat lunch, nor does my brother eat lunch.
15. Both my husband and I graduated from this university
→ Not only did my husband graduate from this university, but I did as well.
16. " If I were you, I wouldn't leave home " he said
→ He said that if he were me, he wouldn't leave home.
17. " Could you please take this chair away ? " the girl said
→ The girl asked if she could please take this chair away.
18. " Let's open a small shop before a big business " my friend said
→ My friend suggested that we open a small shop before a big business.
19. " Would you like to invest in our project ? " he said
→ He asked if I would like to invest in their project.
20. They suppose that he makes much attempt to succed
→ They suppose that he makes much effort to succeed.
21. How was she made to cry by him ?
→ How did he make her cry?
22. I am always encouraged by the teacher to apply for the best high school
→ The teacher always encourages me to apply for the best high school.
23. We all like the house. It looks ancient and very nice
→ We all like the house as it looks ancient and very nice.
24. We don't like this car. My dad drives it
→ We don't like this car as my dad drives it.
25. Should you visit my country, I will take you to many interesting places
→ If you visit my country, I will take you to many interesting places.
Build sentences
1. English / speak / everywhere / by even children
→ English is spoken everywhere, even by children.
2. This picture / paint / by a famous painter 100 years ago
→ This picture was painted by a famous painter 100 years ago
14 Neither I nor my brother eats lunch
15 Not only my husband but also I graduated from this university
16 He advised me not to leave home
17 The girl asked me to take that chair away
18 My friend suggested opening a small shop before a big business
19 He asked me to invest in their project
20 He is supposed to make much attempt to succeed