Instrucciones: Responde las siguientes preguntas

• Desarrolla el siguiente binomio elevado al cubo. $$\left ( \frac{2}{9}m+\frac{1}{4}n \right )^{3}$$
  • $$\frac{8}{729}m^{3}+\frac{1}{32}m^{2}n^{2}+\frac{1}{19}mn+\frac{1}{64}n^{3}$$
  • $$\frac{8}{729}m^{3}+\frac{1}{29}m^{2}n^{2}+\frac{1}{21}mn+\frac{1}{64}n^{3}$$
  • $$\frac{8}{729}m^{3}+\frac{1}{25}m^{2}n+\frac{1}{19}mn^{2}+\frac{1}{64}n^{3}$$
  • $$\frac{8}{729}m^{3}+\frac{1}{27}m^{2}n+\frac{1}{24}mn^{2}+\frac{1}{64}n^{3}$$

• Desarrolla el siguiente binomio elevado al cubo. $$\left ( \frac{5}{9}x^{2}y^{3}-\frac{9}{14}z \right )^{3}$$
  • $$\frac{125}{729}x^{6}y^{9}-\frac{11}{14}x^{4}y^{6}z+\frac{131}{196}x^{2}y^{3}z^{2}-\frac{369}{1 \ 372}z^{3}$$
  • $$\frac{125}{729}x^{6}y^{9}-\frac{3}{7}x^{4}y^{6}z+\frac{9}{14}x^{2}y^{3}z^{2}-\frac{719}{2 \ 744}z^{3}$$
  • $$\frac{125}{729}x^{6}y^{9}-\frac{4}{7}x^{4}y^{6}z+\frac{125}{196}x^{2}y^{3}z^{2}-\frac{103}{392}z^{3}$$
  • $$\frac{125}{729}x^{6}y^{9}-\frac{25}{42}x^{4}y^{6}z+\frac{135}{196}x^{2}y^{3}z^{2}-\frac{729}{2 \ 744}z^{3}$$

• Desarrolla el siguiente binomio elevado al cubo. $$\left ( \frac{1}{3}x-\frac{4}{7} \right )^{3}$$
  • $$\frac{1}{27}x^{3}-\frac{4}{21}x^{2}+\frac{16}{49}x-\frac{64}{343}$$
  • $$\frac{1}{27}x^{3}-\frac{3}{22}x^{2}+\frac{7}{27}x-\frac{64}{343}$$
  • $$\frac{1}{27}x^{3}-\frac{4}{21}x^{2}+\frac{13}{53}x-\frac{64}{343}$$
  • $$\frac{1}{27}x^{3}-\frac{3}{8}x^{2}+\frac{17}{52}x-\frac{64}{343}$$

• Desarrolla el siguiente binomio elevado al cubo. $$\left ( \frac{7}{10}m-\frac{2}{15}n \right )^{3}$$
  • $$\frac{343}{1 \ 000}m^{3}-\frac{25}{126}m^{2}n^{2}+\frac{19}{376}mn-\frac{8}{3 \ 375}n^{3}$$
  • $$\frac{343}{1 \ 000}m^{3}-\frac{25}{126}m^{2}n+\frac{18}{367}mn^{2}-\frac{8}{3 \ 375}n^{3}$$
  • $$\frac{343}{1 \ 000}m^{3}-\frac{49}{250}m^{2}n+\frac{14}{375}mn^{2}-\frac{8}{3 \ 375}n^{3}$$
  • $$\frac{343}{1 \ 000}m^{3}-\frac{48}{241}m^{2}n^{2}+\frac{16}{369}mn-\frac{8}{3 \ 375}n^{3}$$

• Desarrolla el siguiente binomio elevado al cubo. $$\left ( \frac{3}{5}x+\frac{3}{7} \right )^{3}$$
  • $$\frac{27}{125}x^{3}+\frac{17}{35}x^{2}+\frac{17}{49}x+\frac{27}{343}$$
  • $$\frac{27}{125}x^{3}+\frac{82}{175}x^{2}+\frac{82}{245}x+\frac{27}{343}$$
  • $$\frac{27}{125}x^{3}+\frac{81}{175}x^{2}+\frac{81}{245}x+\frac{27}{343}$$
  • $$\frac{27}{125}x^{3}+\frac{76}{175}x^{2}+\frac{76}{245}x+\frac{27}{343}$$