Instrucciones: Responde las siguientes preguntas

• Factoriza la siguiente expresión algebraica. $$5 \ 832m^{15}n^{24}+p^{21}$$
  • $$\left ( 18m^{5}n^{8}+p^{7} \right )\left ( 324m^{10}n^{16}-18m^{5}n^{8}p^{7}+p^{14} \right )$$
  • $$\left ( 18m^{5}n^{12}+p^{7} \right )\left ( 324m^{10}n^{24}-18m^{5}n^{12}p^{7}+p^{14} \right )$$
  • $$\left ( 16m^{5}n^{12}+p^{7} \right )\left ( 256m^{10}n^{24}-16m^{5}n^{12}p^{7}+p^{14} \right )$$
  • $$\left ( 16m^{5}n^{8}+p^{7} \right )\left ( 256m^{10}n^{16}-16m^{5}n^{8}p^{7}+p^{14} \right )$$

• Factoriza la siguiente expresión algebraica. $$216a^{3}+125b^{9}$$
  • $$\left ( 6a+5b^{3} \right )\left ( 36a^{2}-30ab^{3}+25b^{6} \right )$$
  • $$\left ( 6a+5b^{3} \right )\left ( 12a-30ab^{3}+25b^{} \right )$$
  • $$\left ( 4a+15b^{3} \right )\left ( 8a-30ab^{3}+225b \right )$$
  • $$\left ( 4a+15b^{3} \right )\left ( 16a^{2}-60ab^{3}+225b^{6} \right )$$

• Factoriza la siguiente expresión algebraica. $$343x^{27}y^{30}+85 \ 184z^{15}$$
  • $$\left ( 7x^{3}y^{10}+44z^{5} \right )\left ( 49x^{6}y^{20}-308x^{3}y^{10}z^{5}+1 \ 936z^{10} \right )$$
  • $$\left ( 7x^{3}y^{10}+54z^{5} \right )\left ( 49x^{6}y^{20}-378x^{3}y^{10}z^{5}+2 \ 916z^{10} \right )$$
  • $$\left ( 7x^{9}y^{10}+54z^{5} \right )\left ( 49x^{18}y^{20}-378x^{9}y^{10}z^{5}+2 \ 916z^{10} \right )$$
  • $$\left ( 7x^{9}y^{10}+44z^{5} \right )\left ( 49x^{18}y^{20}-308x^{9}y^{10}z^{5}+1 \ 936z^{10} \right )$$

• Factoriza la siguiente expresión algebraica. $$1 \ 728a^{24}b^{12}+226 \ 981c^{27}d^{36}$$
  • $$\left ( 12a^{8}b^{4}+61c^{9}d^{12} \right )\left ( 144a^{16}b^{8}-732a^{8}b^{4}c^{9}d^{12}+3 \ 721c^{18}d^{24} \right )$$
  • $$\left ( 12a^{8}b^{4}+61c^{3}d^{6} \right )\left ( 144a^{16}b^{8}-732a^{8}b^{4}c^{3}d^{6}+3 \ 721c^{6}d^{12} \right )$$
  • $$\left ( 12a^{8}b^{4}+41c^{3}d^{6} \right )\left ( 144a^{16}b^{8}-492a^{8}b^{4}c^{3}d^{6}+1 \ 681c^{6}d^{12} \right )$$
  • $$\left ( 12a^{8}b^{4}+41c^{9}d^{12} \right )\left ( 144a^{16}b^{8}-492a^{8}b^{4}c^{9}d^{12}+1 \ 681c^{18}d^{24} \right )$$

• Factoriza la siguiente expresión algebraica. $$64m^{12}+27n^{18}$$
  • $$\left ( 8m^{4}+3n^{6} \right )\left ( 16m^{8}-24m^{4}n^{6}+9n^{12} \right )$$
  • $$\left ( 8m^{6}+3n^{9} \right )\left ( 16m^{12}-24m^{6}n^{9}+9n^{18} \right )$$
  • $$\left ( 4m^{4}+3n^{6} \right )\left ( 16m^{8}-12m^{4}n^{6}+9n^{12} \right )$$
  • $$\left ( 4m^{6}+3n^{9} \right )\left ( 16m^{12}-12m^{6}n^{9}+9n^{18} \right )$$