Thực hiện các phép tính sau: b) 2x-1/ x+ 1-x/ 2x+1+ 3/ x^2-9+ 1-2x/ x+ x-1/ 2x+1- 3/ x+3.

Trả lời

b,$\frac{2x-1}{x}+\frac{1-x}{2x+1}+\frac{3}{x^2-9}+\frac{1-2x}{x}+\frac{x-1}{2x+1}-\frac{3}{x+3}$

$$\begin{gathered} =\left(\frac{2x-1}{x}+\frac{1-2x}{x}\right)+\left(\frac{1-x}{2x+1}+\frac{x-1}{2x+1}\right)+\left(\frac{3}{x^2-9}-\frac{3}{x+3}\right) \\ =\frac{2x-1+1-2x}{x}+\frac{1-x+x-1}{2x+1}+\frac{3-3(x-3)}{(x-3)(x+3)} \\ =0+0+\frac{-3x+12}{(x-3)(x+3)}=\frac{-3x+12}{x^2-9} \end{gathered}$$