Answer
$\frac{x+1}{3(x+2)}$
Work Step by Step
We simplify:
$\displaystyle \frac{4(x^{2}-1)}{12(x+2)(x-1)}=\frac{4(x+1)(x-1)}{12(x+2)(x-1)}=\frac{x+1}{3(x+2)}$
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