Question

Thực hiện phép tính

\(\dfrac{3x^2+5x+14}{x^2+1}+\dfrac{x-1}{x^2-x+1}-\dfrac{4}{x+1}\)

Answer 1

\(=\dfrac{3x^2+5x+14+x^2-1-4x^2+4x-4}{\left(x+1\right)\left(x^2-x+1\right)}\)

\(=\dfrac{9x+9}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{9}{x^2-x+1}\)