Answer
$2$.
Work Step by Step
The given expression is
$\Rightarrow \left (2-\frac{6}{x+1} \right )\left (1+\frac{3}{x-2} \right )$
Multiply the numerator and denominator
$\Rightarrow \left (\frac{2(x+1)}{x+1}-\frac{6}{x+1} \right )\left (\frac{x-2}{x-2}+\frac{3}{x-2} \right )$
Add numerators
$\Rightarrow \left (\frac{2x+2-6}{x+1} \right )\left (\frac{x-2+3}{x-2} \right )$
Simplify.
$\Rightarrow \left (\frac{2x-4}{x+1} \right )\left (\frac{x+1}{x-2} \right )$
$\Rightarrow \left (\frac{2(x-2)}{x+1} \right )\left (\frac{x+1}{x-2} \right )$
Cancel common terms.
$\Rightarrow 2$.
