a: \(=\dfrac{2x+x-2-x-2}{\left(x-2\right)\left(x+2\right)}=\dfrac{2x-4}{\left(x-2\right)\left(x+2\right)}=\dfrac{2}{x+2}\)
b: x^2-x-6=0
=>(x-3)(x+2)=0
=>x=3(nhận) hoặc x=-2(loại)
Khi x=3 thì \(E=\dfrac{2}{3+2}=\dfrac{2}{5}\)
c: Để E nguyên thì \(x+2\in\left\{1;-1;2;-2\right\}\)
=>\(x\in\left\{-1;-3;0;-4\right\}\)