Question

\(\dfrac{x+3}{x^2-1}-\dfrac{1}{x^2+x}\)

có ai bt giải ko

 

 

Answer 1

\(=\dfrac{x^2+3x-x+1}{x\left(x+1\right)\left(x-1\right)}=\dfrac{x^2+2x+1}{x\left(x+1\right)\left(x-1\right)}=\dfrac{x+1}{x\left(x-1\right)}\)

Answer 2

\(=\dfrac{x+3}{\left(x-1\right)\left(x+1\right)}-\dfrac{1}{x\left(x+1\right)}=\dfrac{x\left(x+3\right)-\left(x-1\right)}{x\left(x-1\right)\left(x+1\right)}=\dfrac{x^2+2x+1}{x\left(x-1\right)\left(x+1\right)}=\dfrac{\left(x+1\right)^2}{x\left(x-1\right)\left(x+1\right)}=\dfrac{x+1}{x^2-x}\)