Instrucciones: Responde las siguientes preguntas

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

• Factoriza la siguiente expresión algebraica. $$5832m^{15}{n}^{24}+p^{21}$$
  • $$(18m^5{n}^8+p^7)(324m^{10}{n}^{16}-18m^5{n}^8{p}^7+p^{14})$$
  • $$(16m^5{n}^8+p^7)(256m^{10}{n}^{16}-16m^5{n}^8{p}^7+p^{14})$$
  • $$(16m^5{n}^{12}+p^7)(256m^{10}{n}^{24}-16m^5{n}^{12}{p}^7+p^{14})$$
  • $$(18m^5{n}^{12}+p^7)(324m^{10}{n}^{24}-18m^5{n}^{12}{p}^7+p^{14})$$

• Factoriza la siguiente expresión algebraica. $$1728a^{24}{b}^{12}+226981c^{27}{d}^{36}$$
  • $$(12a^8{b}^4+41c^9{d}^{12})(144a^{16}{b}^8-492a^8{b}^4{c}^9{d}^{12}+1681c^{18}{d}^{24})$$
  • $$(12a^8{b}^4+61c^9{d}^{12})(144a^{16}{b}^8-732a^8{b}^4{c}^9{d}^{12}+3721c^{18}{d}^{24})$$
  • $$(12a^8{b}^4+61c^3{d}^6)(144a^{16}{b}^8-732a^8{b}^4{c}^3{d}^6+3721c^6{d}^{12})$$
  • $$(12a^8{b}^4+41c^3{d}^6)(144a^{16}{b}^8-492a^8{b}^4{c}^3{d}^6+1681c^6{d}^{12})$$

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

• Factoriza la siguiente expresión algebraica. $$343x^{27}{y}^{30}+85184z^{15}$$
  • $$(7x^3{y}^{10}+44z^5)(49x^6{y}^{20}-308x^3{y}^{10}{z}^5+1936z^{10})$$
  • $$(7x^9{y}^{10}+44z^5)(49x^{18}{y}^{20}-308x^9{y}^{10}{z}^5+1936z^{10})$$
  • $$(7x^9{y}^{10}+54z^5)(49x^{18}{y}^{20}-378x^9{y}^{10}{z}^5+2916z^{10})$$
  • $$(7x^3{y}^{10}+54z^5)(49x^6{y}^{20}-378x^3{y}^{10}{z}^5+2916z^{10})$$