a+b+c=0

=>\(\left(a+b+c\right)^2=0\)

=>\(a^2+b^2+c^2+2\left(ab+bc+ac\right)=0\)

=>\(a^2+b^2+c^2=0\)

=>a=b=c=0

\(A=\left(a-1\right)^{2023}+b^{2024}+\left(c+1\right)^{2025}\)

\(=\left(0-1\right)^{2023}+0^{2024}+\left(0+1\right)^{2025}\)

\(=\left(-1\right)^{2023}+0+1^{2025}\)

=-1+0+1

=0

1.In the future, we will have flying cars so that we can travel faster and further.

2.Experts said that self-driving cars would be on the road in 2025.

3.Will household chores be handled by a robot in the near future?

4.Anti-ageing pills will be invented to help people live longer.

5.Modern technology has had an impressive influence on the way we communicate.

6.Technology has made life easier, but it has also made us lazy.

7.Have you ever dreamed of living on another planet?

8.Scientists predict that humans could be living on Mars in 50 to 100 year

1 In the future we will have flying cars so that we can travel faster and further

2 Experts said that self-driving cars would be on the road in 2020

3 Will household chores be handled by robot in the near future?

4 Anti-ageing will be invented to help people live longer

C

A

F 

G

B

E

D

1.c

2.a

3.f

4.g

5.b

6.e

7.d

1 C

2 F

3 A

4 D

5 B

6 E

7 G

Giúp cái gì mới được chứ

D

B

C

A
D

1 D

2 B

3 C

4 A

5 D

Ex16

1 Most families meet to exchange gifts and have a traditional meal

2 Homes are decorated with peach blossom, the apricot, and kumquat

3 Children are encouraged not to fight or cry during Tet

4 Many families plant a new year's tree in front of the house

5 After the family meal, many Vietnamese people attend the local pagoda to worship ancestors

6 The Glastonbury Festival is an exciting music festival

Ex17

1 We wished our mom health and longevity

2 He was released after being questioned by police yesterday

3 He prays for luck and happiness

4 The man is a monk from Emei Mountain

5 They make sacrificial offerings for the gods

1 The engagement ceremony occurs before the official wedding.

2 A family member with a happy life and a high-ranking position in the family is selected to be the representative of each family

3 The family of the fiance prepares the gift trays for the engagement ceremony.

4 The number of trays must be an odd number because, in Vietnamese traditions, odd numbers are thought to bring luck to the couple

5 The wedding ceremony occurs in front of the ancestor altar

1 A ceremony of engagement occurs before the official wedding

2 The person who is a family member having a happy life and ranking position in the family

3 They are prepared by the family or fiance

4 Because odd number is thought to bring luck to the couple

5 It occures in front of the ancestor altar

`(x- 2)(x^2 + 2x + 4) + 2(x^2  - 4) - 5x(x - 2) = 0`

`(x - 2)(x^2 + 2x + 4) + 2(x - 2)(x + 2) - 5x(x - 2) = 0`

`(x - 2)[x^2 + 2x + 4 + 2(x + 2) - 5x] = 0`

`(x - 2)(x^2 + 2x + 4 + 2x + 4 - 5x) = 0`

`(x - 2)(x^2 - x + 8) = 0`

`x - 2 = 0 (` Mà `x^2 - x + 8 \ne 0)`

`x = 0 + 2`

`x = 2`

Vậy: `x=2`

Câu chuyện của những người như Nick Vujicic, Helen Keller, Nguyễn Công Hùng và Nguyễn Phương Anh giúp em nhận ra rằng, dù gặp khó khăn hay khiếm khuyết, chúng ta vẫn có thể vượt qua và đóng góp cho xã hội. Họ dạy em về sự kiên cường, nghị lực và không bao giờ từ bỏ ước mơ. Em cũng học được sự đồng cảm, tôn trọng đối với những người khuyết tật, và tin rằng mỗi người đều có thể làm những điều tuyệt vời nếu nỗ lực.

\(\left(x-5\right)\left(x+5\right)-\left(x+3\right)^2=\left(x+1\right)^2-\left(x+4\right)\left(x-4\right)\)

\(\Leftrightarrow x^2-25-x^2-6x-9=x^2-2x+1-x^2+16\)

\(\Leftrightarrow-4x=51\)

\(\Leftrightarrow x=-\dfrac{51}{4}\)

`(x - 5)(x + 5) - (x + 3)^2 = (x + 1)^2 - (x + 4)(x - 4)`

`x^2 - 25 - (x^2 + 6x+ 9) = x^2 + 2x + 1 - (x^2 - 16)`

`x^2 - 25 - x^2 - 6x - 9 = x^2 + 2x + 1 - x^2 + 16`

`-6x - 34 = 2x + 17`

`-6x - 2x = 17 + 34`

`-8x = 51`

`x = -51/8`

Vậy: `x = -51/8`