a+2b Per 6a-12b × 3a-6b per a²-4b²

[tex] \frac{a + 2b}{6a - 12b} \times \frac{3a - 6b}{a {}^{2} - {4b}^{2} } \\ = \frac{3 {a}^{2} - 6ab + 6ab - 12 {b}^{2} }{6a {}^{3} - 24a {b}^{2} - 12ab {}^{2} + 48 {b}^{3} } \\ = \frac{3a {}^{2} - 12 {b}^{2} }{6 {a}^{3} - 36 {ab}^{2} + 48 {b}^{3} }[/tex]