Answer
$\frac{-13x+4}{(x-4)(x+4)}$
Work Step by Step
Original Equation
(x-3)/(x+4) - (x+2)/(x-4)
Find LCD: (x-4)(x+4)
Adjust denominators and subtract
$\frac{(x-3)(x-4) - (x+2)(x+4)}{(x-4)(x+4)}$
Answer: $\frac{-13x+4}{(x-4)(x+4)}$
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