Answer
True
Work Step by Step
We first create common denominators:
$\frac{x(x+2)}{3(x-2)(x+2)} + \frac{12}{3(x-2)(x+2)} = \frac{(x+2)(x-2)}{3(x-2)(x+2)} $
The denominators are the same, so we can cancel them out to find:
$ x^2+ 2x +12 = x^2 -4 \\ 2x = -16 \\x=-8$
The given statement is true.
