1 me not to open the window

2 she shared memories of her trip with me

3 as responsible as Emily

4 surfing the net for the location of Ninh Binh Province

5 going to be redecorated for us next month

6 they would celebrate a birthday party the next evening

7 me when I was going to submit my research paper

8 off your coat and hat when you come ínide

9 for our trip to VN will be books by Alex

10 the news about ancient towns

11 hard enough to pass the final exam

12 being intelligent, she can solve even difficult Maths problem

13 they would discuss about that problem the next week

14 fast food Alex eats, the more weight he gains

15 never visited Pharaoh tombs before

Cathedral
tombs

Citadel

fortress

cavern

limestone

pagoda

sculptures

1.Cathedral
2.Tombs

3.Citadel

4.Fortress

5.Cavern

6.Limestone

7.Pagoda

8.Scupltures

IV

1:

ĐKXĐ: \(x\in R\)

 \(3\sqrt{x^2-3x+5}+2\left(x+1\right)\left(x-4\right)=9\)

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

=>\(3\sqrt{x^2-3x+5}+2\left(x^2-3x+5-9\right)=9\)

=>\(2\left(x^2-3x+5\right)+3\sqrt{x^2-3x+5}-27=0\)

=>\(2\left(x^2-3x+5\right)+9\sqrt{x^2-3x+5}-6\sqrt{x^2-3x+5}-27=0\)

=>\(\sqrt{x^2-3x+5}\left(2\sqrt{x^2-3x+5}+9\right)-3\left(2\sqrt{x^2-3x+5}+9\right)=0\)

=>\(\left(2\sqrt{x^2-3x+5}+9\right)\left(\sqrt{x^2-3x+5}-3\right)=0\)

=>\(\sqrt{x^2-3x+5}-3=0\)

=>\(\sqrt{x^2-3x+5}=3\)

=>\(x^2-3x+5=9\)

=>\(x^2-3x-4=0\)

=>(x-4)(x+1)=0

=>\(\left[{}\begin{matrix}x-4=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-1\end{matrix}\right.\)

Bài 6

a) (3x² + 5) + [(2x² - 5x) - (5x² + 4)]

= 3x² + 5 + (2x² - 5x - 5x² - 4)

= 3x² + 5 + 2x² - 5x - 5x² - 4

= (3x² + 2x² - 5x²) - 5x + (5 - 4)

= -5x + 1

---------‐----------

b) (x + 2)(x² - 2x + 4)

= x.x² - x.2x + x.4 + 2.x² - 2.2x + 2.4

= x³ - 2x² + 4x + 2x² - 4x + 8

= x³ + (-2x² + 2x²) + (4x - 4x) + 8

= x³ + 8

-------------------

c) (4x³ - 8x² + 13x - 5) : (2x - 1)

= (4x³ - 2x² - 6x² + 3x + 10x - 5) : (2x - 1)

= [(4x³ - 2x²) - (6x² - 3x) + (10x - 5)] : (2x - 1)

= [2x²(2x - 1) - 3x(2x - 1) + 5(2x - 1)] : (2x - 1)

= (2x - 1)(2x² - 3x + 5) : (2x - 1)

= 2x² - 3x + 5

Bài 6: 

a: Xét ΔAPC có

M là trung điểm của AC

Q là trung điểm của PC

Do đó: MQ là đường trung bình của ΔAPC

Suy ra: MQ//AP

Xét ΔBMQ có

P là trung điểm của BQ

PD//MQ

Do đó: D là trung điểm của BM

Suy ra: DB=DM

IV

1 do 

2 to be

3 was waiting

4 went - wouldn't be

5 were

6 smoking

7 is always leaving

8 to study

9 haven't spoken

10 arrive

V

1 wealthy

2 imagination

3 literately

4 phýical

5 observation

6 Married

7 behavior

8 incredible

9 seniority

10 unbelievable

IV

1 do 

2 to be

3 was waiting

4 went - wouldn't be

5 were

6 smoking

7 is always leaving

8 to study

9 haven't spoken

10 arrive

V

1 wealthy

2 imagination

3 literately

4 physical

5 observation

6 Married

7 behavior

8 incredible

9 seniority

10 unbelievable

I wish the council wasn't demolishing it

 If I were good at English, I could become a tour guide

"I will hold an event about skin care next month" Mary said

She was given the book " The fault in our stars " as a birthday gift by him

He wishes he could come to his brother's wedding

He advised me not to longer spend most of time chatting on Facebook.

How long did you start searching for some facts in the past ?

My mother used to for me when I married my wife

She was so frightened that she lost control of her car. 

It was such a delicious dessert that I decided to order portion

Because of my sickness, I don't go out

is=>was

leave=>will leave

since=>for

difficult than=>more difficult than

have been=>had been

 so =>too

endangerment=>endangered