Rút gọn biểu thức

C= \(\sqrt[3]{x^3+1+3x\left(x+1\right)}-\sqrt[3]{\left(x-1\right)^3}\)

Cho hình thang ABCD vuông tại A và D, AB < DC, hai đường chéo AC và BD vuông góc với nhau tại O.

a) Cho AB= 12 cm và DB = 24 cm. Tính doạn thẳng AD, AO, DO, DC và AC

b) KẺ BH vuông góc với DC tại H. Tính S △COH.

c) Đường vuông góc với BC tại B cắt đường thẳng CD ở M. CM: \(BH^2+MH^2=MH.MC\)

1, Tìm Min của

A = \(\sqrt{4x^2-4x+1}+\sqrt{4x^2-12x+9}\)

2, Tìm x,y,z biết

x+y+z+8= \(2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)

Giúp em với ạ em đang cần gấp!!!!

\(\frac{1}{25a^2}+\frac{1}{49a^2}=\frac{1}{225}\)

\(\sqrt{\left(\sqrt{8}-7\right)^2}-\sqrt{8}\)

Rewrite the sentences so that they mean almost the same as those printed before them.

1. My advice is that Mary should apply for that job.

-> If I

2. The furniture was too old to keep.

-> It was

3. When did you start that exercise program?

-> How

4. They didn't find the trip interesting although the weather was fine.

-> In spite

5. They say football is the best game to play.

-> Football

6. We cannot survive when there is no air.

-> Without

7. All I know is that he has gone.

-> As far

8. He liked the new friends immediately.

-> He took

9. She hasn't gone out with him for almost two years.

-> They stopped

10. Gary is the best guitarist in the class.

-> No one else

Fill in each of the blanks with One suitable word.

The first Olympic Games were held in Greece in 776 B.C. Only one event, a foot race, (1) included. Things (2) changed a great deal over the years. The modern Olympics have (3) events. However, they still include some basic spiritual parts of the Games, namely the (4) up of the flame, the oath of loyalty, (5) the doves that are set (6) . The world's best athletes spend a lot of (7) time training and preparing for the Olympics. Not only those athletes (8) also the people in that country take (9) in the medals they win for the country. Today, (10) always, the Olympics Games are a celebration of human courage.