Rút gọn:

\(\sqrt{\frac{x^2-\sqrt{x}}{x+\sqrt{x}+1}-\frac{x^2+\sqrt{x}}{x-\sqrt{x}+1}+x+1}\)

Write a paragraph (100 - 120 words) to show your opinions about the roles of science and technology in our life.

Thinks about their roles in:

- Health care and medical fields

- Manufacturing and production (Agriculture and Industry)

- Social life and entertaiment

- Education

- Communication and transportation

...

Cho: \(\frac{x^2+y^2}{xy}=\frac{10}{3}\) và \(0< x< y< 3y\). Tính: \(N=\frac{x-y}{x+y}\)

AM là đường trung tuyến, G là trọng tâm của tam giác ABC.

a) Chứng minh: \(S_{ABG}=2S_{BMG}\)

b) Cho \(S_{ABCD}=2010cm^2\). Tính \(S_{MGC}=?\)