Instrucciones: Responde las siguientes preguntas

• Factoriza la siguiente expresión algebraica. $$\frac{49}{1 \ 849}x^{18}y^{32}-\frac{100}{1 \ 089}u^{48}z^{26}$$
  • $$\left ( \frac{7}{41}x^{9}y^{16}+\frac{10}{23}u^{24}z^{13} \right )\left ( \frac{7}{41}x^{9}y^{16}-\frac{10}{23}u^{24}z^{13} \right )$$
  • $$\left ( \frac{7}{23}x^{9}y^{16}+\frac{10}{33}u^{24}z^{13} \right )\left ( \frac{7}{23}x^{9}y^{16}-\frac{10}{33}u^{24}z^{13} \right )$$
  • $$\left ( \frac{7}{43}x^{9}y^{16}+\frac{10}{33}u^{24}z^{13} \right )\left ( \frac{7}{43}x^{9}y^{16}-\frac{10}{33}u^{24}z^{13} \right )$$
  • $$\left ( \frac{7}{53}x^{9}y^{16}+\frac{10}{23}u^{24}z^{13} \right )\left ( \frac{7}{53}x^{9}y^{16}-\frac{10}{23}u^{24}z^{13} \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{1}{64}a^{2}-\frac{4}{9}$$
  • $$\left ( \frac{2}{3}+\frac{1}{32}a \right )\left ( \frac{2}{3}-\frac{1}{32}a \right )$$
  • $$\left ( \frac{1}{32}a+\frac{2}{3} \right )\left ( \frac{1}{32}a-\frac{2}{3} \right )$$
  • $$\left ( \frac{2}{3}+\frac{1}{8}a \right )\left ( \frac{2}{3}-\frac{1}{8}a \right )$$
  • $$\left ( \frac{1}{8}a+\frac{2}{3} \right )\left ( \frac{1}{8}a-\frac{2}{3} \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{1}{25}a^{2}-\frac{25}{36}b^{4}$$
  • $$\left ( \frac{1}{50}a+\frac{25}{71}b^{2} \right )\left ( \frac{1}{50}a-\frac{25}{71}b^{2} \right )$$
  • $$\left ( \frac{1}{12}a+\frac{2}{5}b^{2} \right )\left ( \frac{1}{12}a-\frac{2}{5}b^{2} \right )$$
  • $$\left ( \frac{1}{5}a+\frac{5}{6}b^{2} \right )\left ( \frac{1}{5}a-\frac{5}{6}b^{2} \right )$$
  • $$\left ( \frac{2}{25}a+\frac{25}{18}b^{2} \right )\left ( \frac{2}{25}a-\frac{25}{18}b^{2} \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{121}{169}m^{6}n^{4}-\frac{1}{16}$$
  • $$\left ( \frac{11}{17}m^{3}n^{2}+\frac{1}{4} \right )\left ( \frac{11}{17}m^{3}n^{2}-\frac{1}{4} \right )$$
  • $$\left ( \frac{11}{13}m^{3}n^{2}+\frac{1}{4} \right )\left ( \frac{11}{13}m^{3}n^{2}-\frac{1}{4} \right )$$
  • $$\left ( \frac{11}{17}m^{3}n^{2}+\frac{1}{8} \right )\left ( \frac{11}{17}m^{3}n^{2}-\frac{1}{8} \right )$$
  • $$\left ( \frac{11}{13}m^{3}n^{2}+\frac{1}{8} \right )\left ( \frac{11}{13}m^{3}n^{2}-\frac{1}{8} \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{121}{144}x^{8}y^{6}-\frac{4}{25}z^{14}$$
  • $$\left ( \frac{11}{12}x^{4}y^{3}+\frac{2}{5}z^{7} \right )\left ( \frac{11}{12}x^{4}y^{3}-\frac{2}{5}z^{7} \right )$$
  • $$\left ( \frac{11}{12}x^{2}y^{2}+\frac{2}{5}z^{3} \right )\left ( \frac{11}{12}x^{2}y^{2}-\frac{2}{5}z^{3} \right )$$
  • $$\left ( \frac{1}{23}x^{4}y^{3}+\frac{1}{21}z^{7} \right )\left ( \frac{1}{23}x^{4}y^{3}-\frac{1}{21}z^{7} \right )$$
  • $$\left ( \frac{1}{23}x^{2}y^{2}+\frac{1}{21}z^{3} \right )\left ( \frac{1}{23}x^{2}y^{2}-\frac{1}{21}z^{3} \right )$$