Thuc hien phep tinh

1) \(\frac{1}{x+2}+\frac{3}{x^2-4}+\frac{x-14}{\left(x^2+4x+4\right).\left(x-2\right)}\)

2) \(\frac{x+1}{x-3}-\frac{1-x}{x+3}-\frac{2x.\left(1-x\right)}{9-x^2}\)

Thuc hien phep tinh :

a) \(\frac{4-x}{x^3+2x}-\frac{x+5}{x^3-x^2+2x-2}\) 

b) \(\frac{3x-23}{\left(3x-3\right)\left(x+4\right)}-\frac{x-3}{x^2+5x+4}\)

1) thuc hien phep tinh:

\(\frac{4}{x+2}+\frac{2}{x-2}+\frac{5x-6}{4-x}\)

\(\left(1+\frac{2}{1}\right)x\left(1+\frac{2}{2}\right)x\left(1+\frac{2}{3}\right)x\left(1+\frac{2}{4}\right)x...x\left(1+\frac{2}{2016}\right)x\left(1+\frac{2}{2017}\right)\)  

tinh bieu thuc tren

1) Thuc hien phep tinh cong 2 phan thuc \(\dfrac{2x}{x^2-2x+1}+\dfrac{x+1}{x-1}\) duoc ket qua la:

A. \(\dfrac{x^2+2x+1}{\left(x-1\right)^2}\)             B. \(\dfrac{x^2+2x-1}{\left(x-1\right)^2}\)      C. \(\dfrac{x^2-x-1}{\left(x-1\right)^2}\)           D. \(\dfrac{x^2-2x-1}{\left(x-1\right)^2}\)

Thuc hien phep tinh:

E=\(1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{2016}\left(1+2+...+2016\right)\)

Thuc hien cac phep tinh mot cach hop li nhat:

1 + \(\frac{1}{2}\)x (1 + 2) +\(\frac{1}{3}\)x (1 + 2 + 3) + \(\frac{1}{4}\)x (1 + 2 + 3 + 4) +......+\(\frac{1}{20}\) x (1 + 2 +...+ 20)

Giải chi tiết hộ mình nha!!!!!!!!

Thuc hien phep tinh

Thuc hien phep tinh 

\(A=\left(1-\frac{1}{1+2}\right).\left(1-\frac{1}{1+2+3}\right)....\left(1-\frac{1}{1+2+3+...+2006}\right)\)