Cho \(a\ne\pm b\) và a(a + b)(a + c) = b(b + c)(b + a). CMR: a + b + c = 0

Phân tích đa thức thành nhân tử:

a. \(x^6-x^4-9x^3+9x^2\)

b. \(x^4+x^3+6x^2+5x+5\)

c. \(\left(12x^2-12xy+3y^2\right)-10\left(2x-y\right)+8\)

Cho tam giác ABC. Gọi d là đường phân giác của góc ngoài ở đỉnh A. Trên đường thẳng d lấy điểm M (M khác A). CMR: BA + AC < BM + MC

Cho tam giác nhọn ABC có góc A bằng 70 độ. M là 1 điểm thuộc BC. Gọi D là điểm đối xứng của M qua AB, E là điểm đối xứng của M qua AC. DE cắt AB, AC lần lượt ở I và K.

a. Tính các góc của tam giác ADE.

b. CMR: MA là tia phân giác của góc IMK.

c. Điểm M ở vị trí nào trên BC thì DE có độ dài ngắn nhất.

Rewrite each sentence, using report speech:

1."I am happy to see you" Lan said to me.

Lan told me...............................................

2. Mr Ba says "This house is nice".

.............................................................

3. "I love my school very much" says Nga.

..................................................................

4. "I will live here next year." Miss Lan said.

................................................................

5. "I am waiting for you" Nam said to me.

...................................................................

6. "I don't know what your name is" Mai asked me.

............................................................................

7. "You must do your test carefully" I told her.

......................................................................

8. "Do you love your home village?" I asked him.

.....................................................................

9. "Do you like my city?" She asked me.

.................................................................

10. "Can you help me?" He asked me.

..........................................................

11. "Will you buy this house next year?"

=> I asked him.............................................................

12. "Is your school near here?"

=> I asked Lan..................................

13. "Are you doing your homework now?"

=> I asked them....... .............................

14. "Do you know what my name is?"

=> She asked me.....................................

15. "What is your name?"

=> I asked her.............................................

16. "Where do you buy this book?" I asked him.

....................................................................

17. "What do you do when you are free?"

=> Lan asked me......................................

18. "Where does your father work?"

=> The teacher asked her........................

19. "How long will you stay in our city?"

=> They asked us..................................

20. "How far is it from your house to the city?"

=> I asked him.......................................

21. "Why don't you get my letter?"

=> She asked me.......................................

22. "How often do you wash your car?"

=> Lan asked Nam...........................

23. "Can you buy me some soap on your way home?"

=> My mother asked me..................

24. "Please turn on the radio for me."

=> Ba told Lan.................................

25. "Don't eat green fruit"

=> She told them.....................

Find the words by their meaning:

1. A place where goods are bought abd sold.

2. The shop where we can buy vegetables and fruits.

3. A place to buy petrol.

4. A period of ten years.

5. Old Mrs Black is the mother of Tom's father.

6. A peace of land with water all around it.

7. The collection of grain, fruit or vegetables made by a farmer.

8. A shop where people buy meat.

9 A woman runs the home and does the house keeping.

Use the correct form of the verbs:

1. I have (see)... a child (cry)...

2. If you go on (let) ... the dog (run)... after cars, he'll end by (be)... run over.

Tính:

a. 3xⁿ(6x^n-3 + 1) - 2xⁿ(9x^n-3 -1)

b. 5ⁿ⁺¹ - 4.5ⁿ

c. 6².6⁴-4³(3⁶-1)