Answer
$D$
Work Step by Step
Factor all expressions completely:
$\frac{(2x + 1)(2x - 1)}{(2x + 1)(x - 3)} \cdot \frac{(x - 3)(x - 3)}{(2x - 1)(x + 3)}$
Multiply to simplify:
$\frac{(2x + 1)(2x - 1)(x - 3)(x - 3)}{(2x + 1)(x - 3)(2x - 1)(x + 3)}$
Cancel common factors in the numerator and denominator:
$\frac{x - 3}{x + 3}$
This corresponds to answer option $D$.