Instrucciones: Responde las siguientes preguntas

• Factoriza la siguiente expresión algebraica. $$289x^{4}y^{4}-361z^{10}$$
  • $$\left ( 17x^{2}y^{2}+19z^{5} \right )\left ( 17x^{2}y^{2}-19z^{5} \right )$$
  • $$\left ( 34xy+18z^{2} \right )\left ( 34xy-18z^{2} \right )$$
  • $$\left ( 34xy+19z^{5} \right )\left ( 34xy-19z^{5} \right )$$
  • $$\left ( 17x^{2}y^{2}+18z^{2} \right )\left ( 17x^{2}y^{2}-18z^{2} \right )$$

• Factoriza la siguiente expresión algebraica. $$49a^{2}b^{2}-81c^{2}$$
  • $$\left ( 7ab+9c \right )\left ( 7ab-9c \right )$$
  • $$\left ( 9c+14ab \right )\left ( 9c-14ab \right )$$
  • $$\left ( 24.5ab+9c \right )\left ( 24.5ab-9c \right )$$
  • $$\left ( 14ab+9c \right )\left ( 14ab-9c \right )$$

• Factoriza la siguiente expresión algebraica. $$4 \ 624m^{10}n^{6}-625p^{8}q^{4}$$
  • $$\left ( 48m^{5}n^{3}+35p^{4}q^{2} \right )\left ( 48m^{5}n^{3}-35p^{4}q^{2} \right )$$
  • $$\left ( 78m^{5}n^{3}+35p^{4}q^{2} \right )\left ( 78m^{5}n^{3}-35p^{4}q^{2} \right )$$
  • $$\left ( 68m^{5}n^{3}+25p^{4}q^{2} \right )\left ( 68m^{5}n^{3}-25p^{4}q^{2} \right )$$
  • $$\left ( 58m^{5}n^{3}+25p^{4}q^{2} \right )\left ( 58m^{5}n^{3}-25p^{4}q^{2} \right )$$

• Factoriza la siguiente expresión algebraica. $$81a^{2}-16b^{2}$$
  • $$\left ( 8b+40.5a \right )\left ( 8b-40.5a \right )$$
  • $$\left ( 9a+4b \right )\left ( 9a-4b \right )$$
  • $$\left ( 40.5a+8b \right )\left ( 40.5a-8b \right )$$
  • $$\left ( 4b+9a \right )\left ( 4b-9a \right )$$

• Factoriza la siguiente expresión algebraica. $$225x^{4}-169y^{6}$$
  • $$\left ( 25x^{2}+14y^{2} \right )\left ( 25x^{2}-14y^{2} \right )$$
  • $$\left ( 15x^{2}+13y^{2} \right )\left ( 15x^{2}-13y^{2} \right )$$
  • $$\left ( 15x^{2}+13y^{3} \right )\left ( 15x^{2}-13y^{3} \right )$$
  • $$\left ( 25x^{2}+14y^{3} \right )\left ( 25x^{2}-14y^{3} \right )$$