Instrucciones: Responde las siguientes preguntas

• Factoriza la siguiente expresión algebraica. $$\frac{25}{198}x^{4}y^{4}-\frac{35}{162}x^{2}y^{3}-\frac{35}{234}xy^{2}$$
  • $$\frac{5}{18}xy^{2}\left ( \frac{5}{11}x^{3}y^{2}-\frac{7}{9}xy-\frac{7}{13} \right )$$
  • $$\frac{7}{9}xy^{2}\left ( \frac{1}{23}x^{3}y^{2}-\frac{28}{153}xy-\frac{28}{225} \right )$$
  • $$\frac{7}{9}xy^{2}\left ( \frac{1}{6}x^{3}y^{2}-\frac{5}{19}xy-\frac{7}{27} \right )$$
  • $$\frac{5}{18}xy^{2}\left ( \frac{1}{9}x^{3}y^{2}-\frac{5}{24}xy-\frac{5}{34} \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{54}{133}xy^{2}+\frac{66}{91}xy-\frac{24}{49}x$$
  • $$\frac{6}{7}x\left ( \frac{9}{19}y^{2}+\frac{11}{13}y-\frac{4}{7} \right )$$
  • $$\frac{4}{7}x\left ( \frac{25}{63}y^{2}+\frac{31}{41}y-\frac{10}{21} \right )$$
  • $$\frac{4}{7}x\left ( \frac{13}{19}y^{2}+\frac{16}{13}y-\frac{6}{7} \right )$$
  • $$\frac{6}{7}x\left ( \frac{8}{19}y^{2}+\frac{5}{7}y-\frac{3}{7} \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{5}{44}x^{6}y^{8}z-\frac{145}{902}x^{5}y^{6}z^{5}+\frac{35}{704}x^{3}y^{5}z^{2}$$
  • $$\frac{5}{22}x^{3}y^{5}z\left ( \frac{5}{33}x^{3}y^{3}-\frac{3}{152}x^{2}yz^{4}+\frac{19}{363}z \right )$$
  • $$\frac{5}{22}x^{3}y^{5}z\left ( \frac{1}{2}x^{3}y^{3}-\frac{29}{41}x^{2}yz^{4}+\frac{7}{32}z \right )$$
  • $$\frac{5}{22}x^{3}y^{5}z\left ( \frac{1}{22}x^{3}y^{3}-\frac{7}{44}x^{2}yz^{4}+\frac{5}{113}z \right )$$
  • $$\frac{5}{22}x^{3}y^{5}z\left ( \frac{1}{2}x^{3}y^{3}-\frac{29}{39}x^{2}yz^{4}+\frac{7}{24}z \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{3}{5}x^{4}-\frac{3}{5}x^{3}-\frac{3}{10}x^{2}$$
  • $$\frac{3}{5}x^{2}\left ( x^{2}-x-\frac{1}{2} \right )$$
  • $$\frac{3}{5}x^{2}\left ( x^{2}-x-\frac{1}{5} \right )$$
  • $$\frac{1}{2}x^{2}\left ( \frac{3}{2}x^{2}-\frac{3}{2}x-\frac{1}{5} \right )$$
  • $$\frac{1}{2}x^{2}\left ( \frac{1}{3}x^{2}-\frac{1}{3}x-\frac{1}{8} \right )$$

• Factoriza la siguiente expresión algebraica. $$\frac{1}{8}x^{3}-\frac{1}{20}x^{2}-\frac{1}{6}x$$
  • $$\frac{1}{10}x\left ( \frac{1}{2}x^{2}-\frac{1}{6}x-\frac{1}{7} \right )$$
  • $$\frac{1}{2}x\left ( \frac{1}{4}x^{2}-\frac{1}{10}x-\frac{1}{3} \right )$$
  • $$\frac{1}{2}x\left ( \frac{1}{5}x^{2}-\frac{1}{18}x-\frac{1}{3} \right )$$
  • $$\frac{1}{10}x\left ( \frac{1}{2}x^{2}-\frac{1}{10}x-\frac{1}{3} \right )$$