Question

\(\left(\dfrac{7x+5}{x^2+3x+2}-\dfrac{2x-3}{x+2}-\dfrac{x-1}{x+1}\right):\dfrac{20-6\sqrt{x}}{3x+6}\)

Answer 1

\(=\dfrac{7x+5-2x^2-2x+3x+3-x^2-x+2}{\left(x+2\right)\left(x+1\right)}\cdot\dfrac{3\left(x+2\right)}{20-6\sqrt{x}}\)

\(=\dfrac{-3x^2+7x+10}{x+1}\cdot\dfrac{3}{20-6\sqrt{x}}\)