Perform the indicated operation and simplify the result.

Answer:
The answer is
[tex] \frac{(2x - y)(2x + y)}{(4x + 3y)(2x + y)} \times \frac{(4x + 3y)(x - 3y)}{(2x + y)(x - 3y)} \\ \\ = \frac{2x - y}{4x + 3y} \times \frac{4 + 3y}{2x + y} \\ \\ = \frac{2x - y}{2x + y} [/tex]
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