Instrucciones: Responde las siguientes preguntas

• Factoriza la siguiente expresión algebraica. $$64m^{12}{n}^{33}-1331p^{27}$$
  • $$(4m^4{n}^{11}-11p^3)(16m^{16}{n}^{121}+44m^4{n}^{11}{p}^3+121p^9)$$
  • $$(4m^4{n}^{11}-11p^9)(16m^8{n}^{22}+44m^4{n}^{11}{p}^9+121p^{18})$$
  • $$(4m^4{n}^{11}-11p^3)(16m^8{n}^{22}+44m^4{n}^{11}{p}^3+121p^6)$$
  • $$(4m^4{n}^{11}-11p^9)(16m^{16}{n}^{121}+44m^4{n}^{11}{p}^9+121p^{81})$$

• Factoriza la siguiente expresión algebraica. $$216x^{18}{y}^{42}-2197z^{30}$$
  • $$(6x^9{y}^{21}-17z^{15})(36x^{18}{y}^{42}+102x^9{y}^{21}{z}^{15}+289z^{30})$$
  • $$(6x^6{y}^{14}-13z^{10})(36x^{12}{y}^{28}+78x^6{y}^{14}{z}^{10}+169z^{20})$$
  • $$(6x^6{y}^{14}-17z^{10})(36x^{12}{y}^{28}+102x^6{y}^{14}{z}^{10}+289z^{20})$$
  • $$(6x^9{y}^{21}-13z^{15})(36x^{18}{y}^{42}+78x^9{y}^{21}{z}^{15}+169z^{30})$$

• Factoriza la siguiente expresión algebraica. $$8a^6-343b^{12}$$
  • $$(2a^3-7b^6)(4a^6+14a^3{b}^6+49b^{12})$$
  • $$(2a^2-7b^4)(4a^4+14a^2{b}^4+49b^8)$$
  • $$(2a^3-7b^6)(4a^6-14a^3{b}^6-49b^{12})$$
  • $$(2a^2-7b^4)(4a^4-14a^2{b}^4-49b^8)$$

• Factoriza la siguiente expresión algebraica. $$42875a^{33}{b}^{48}-85184c^{24}{d}^{30}$$
  • $$(35a^{11}{b}^{16}-44c^{12}{d}^{15})(1225a^{22}{b}^{32}+1540a^{11}{b}^{16}{c}^{12}{d}^{15}+1936c^{24}{d}^{30})$$
  • $$(45a^{11}{b}^{16}-34c^8{d}^{10})(2025a^{22}{b}^{32}+1530a^{11}{b}^{16}{c}^8{d}^{10}+1156c^{16}{d}^{20})$$
  • $$(45a^{11}{b}^{16}-34c^{12}{d}^{15})(2025a^{22}{b}^{32}+1530a^{11}{b}^{16}{c}^{12}{d}^{15}+1156c^{24}{d}^{30})$$
  • $$(35a^{11}{b}^{16}-44c^8{d}^{10})(1225a^{22}{b}^{32}+1540a^{11}{b}^{16}{c}^8{d}^{10}+1936c^{16}{d}^{20})$$

• Factoriza la siguiente expresión algebraica. $$512a^3-27$$
  • $$(8a-3)(64a^2+24a+9)$$
  • $$(8a-3)(64a^2+11a+9)$$
  • $$(8a-3)(64a^2-24a-9)$$
  • $$(8a-3)(64a^2-11a-9)$$