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The expression shown is: \[ \frac{4a^2 - 12ab + 9b^2}{4a^2 - 9b^2} \] This can be simplified by factoring. The numerator and the denominator can be factored as follows: 1. **Numerator:** - \(4a^2 - 12ab + 9b^2\) is a perfect square trinomial and can be factored as \((2a - 3b)^2\). 2. **Denominator:** - \(4a^2 - 9b^2\) is a difference of squares and can be factored as \((2a - 3b)(2a + 3b)\). So the expression simplifies to: \[ \frac{(2a - 3b)^2}{(2a - 3b)(2a + 3b)} \] Cancel out the common factor of \((2a - 3b)\): \[ \frac{2a - 3b}{2a + 3b} \]