Answer:
[tex][1.) \: \frac{20 {d}^{4} }{70 {d}^{2} } = \frac{2 {d}^{2}(10 {d}^{2} ) }{7(10 {d}^{2}) } = \frac{2 {d}^{2} }{7} \\ 2.) \: \frac{27 {h}^{2} }{36 {h}^{2} } = \frac{3(9 {h}^{2} )}{4(9 {h}^{2} )} = \frac{3}{4} \\ 3.) \: \frac{24 {c}^{7} }{36 {c}^{4} } = \frac{2 {c}^{3} (12 {c}^{4} )}{3(12 {c}^{4} )} = \frac{2 {c}^{3} }{3} \\ 4.) \: \frac{24}{3x - 24} = \frac{3(8)}{3(x - 8)} = \frac{8}{x - 8} \\ 5.) \: \frac{4p + 36}{20} = \frac{4(p + 9)}{4(5)} = \frac{p + 9}{5} \\ 6.) \: \frac{6r - 36}{r - 6} = \frac{6(r - 6)}{r - 6} = \frac{6}{1} = 6 \\ 7.) \: \frac{s + 8}{2s + 16} = \frac{s + 8}{2(s + 8)} = \frac{1}{2} \\ 8.) \: \frac{n + 3}{ {n}^{2} + 4n + 3 } = \frac{n + 3}{(n + 3)(n + 1)} = \frac{1}{n + 1} \\ 9.) \: \frac{ {z}^{2} - 8z + 15 }{z - 5} = \frac{(x - 5)(x - 3)}{x - 5} = \frac{x - 3}{1} = x - 3 \\ 10.) \: \frac{ {g}^{2} - 2g - 24 }{ {g}^{2} - g - 20 } = \frac{(g + 4)(g - 6)}{(g - 5)(g + 4)} = \frac{g - 6}{g - 5} [/tex]
