a) ĐKXĐ: \(x\ne\pm2\)
b) \(P=\dfrac{x\left(x-2\right)-x\left(x+2\right)+8}{\left(x-2\right)\left(x+2\right)}=\dfrac{-4x+8}{\left(x-2\right)\left(x+2\right)}=\dfrac{-4\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}=-\dfrac{4}{x+2}\)
c) \(P=-\dfrac{4}{x+2}=-\dfrac{4}{-6+2}=1\)
d) \(P=-\dfrac{4}{x+2}\in Z\Leftrightarrow\left(x+2\right)\inƯ\left(4\right)=\left\{-4;-2;-1;1;2;4\right\}\)
Kết hợp với ĐKXĐ \(\Rightarrow x\in\left\{-6;-4;-3;-1;0\right\}\)
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