$\frac{a(x + 2)}{b(x + 2)} = \frac{a}{b}$

$\frac{4(a - 6)^2}{(a - 6)^3} = \frac{4}{a - 6}$

$\frac{c^3(c - 4)^5}{c^6(c - 4)^3} = \frac{(c - 4)^2}{c^3}$

$\frac{2a + 2b}{7(a + b)} = \frac{2(a + b)}{7(a + b)} = \frac{2}{7}$

$\frac{7x - 21y}{5x - 15y} = \frac{7(x - 3y)}{5(x - 3y)} = \frac{7}{5}$

$\frac{4a - 20b}{12ab} = \frac{4(a - 5b)}{12ab} = \frac{a - 5b}{3ab}$

$\frac{6x + 12}{6x} = \frac{6(x + 2)}{6x} = \frac{x + 2}{x}$

$\frac{a - 5b}{a^2 - 5ab} = \frac{a - 5b}{a(a - 5b)} = \frac{1}{a}$

$\frac{y^2 - 25}{10 + 2y} = \frac{(y - 5)(y + 5)}{2(y + 5)} = \frac{y - 5}{2}$

$\frac{a^2 + 4a + 4}{9a + 18} = \frac{(a + 2)^2}{9(a + 2)} = \frac{a + 2}{9}$

$\frac{c^2 - 6c + 9}{c^2 - 9} = \frac{(c - 3)^2}{(c - 3)(c + 3)} = \frac{c - 3}{c + 3}$

$\frac{m^3 + 1}{m^2 - m + 1} = \frac{m^3 + 1}{m^2 - m + 1} = \frac{(m + 1)(m^2 - m + 1)}{m^2 - m + 1} = m + 1$