Verified answer

[tex] \frac{ {a}^{2} - 4 }{8a - 16} \times \frac{a + 3}{x - 3} [/tex]

[tex] \frac{(a - 2) \times (a + 2)}{8(a - 2)} \times \frac{a + 3}{x - 3} [/tex]

[tex] \frac{a + 2}{8} \times \frac{a + 3}{x - 3} [/tex]

[tex] \frac{(a + 2) \times (a + 3)}{8(x - 3)} [/tex]

[tex] \frac{ {a}^{2} + 3a + 2a + 6 }{8x - 24} [/tex]

[tex] \frac{ {a}^{2} + 5a + 6 }{8x - 24} [/tex]