Factorizar suma y diferencia de cubos

Factorizar 27p³- q³ =

• (27p - q)(27p²+3pq+q² )

• (3p - q)(9p²-3pq+q² )

• (3p - q)(9p²+3pq+q² )

• (9p - q)(81p²+9pq+q² )

Factorizar 343x³y³ + 125z³ =

• (7xy - 5z)(49x²y+35xy+25z² )

• (7xy + 5z)(49x²y+35xy+25z² )

• (7xy + 5z)(49x²y²+35xy+25z² )

• (7xy + 5z)(49x²y² - 35xy+25z² )

 $Factorizar\ \ 125\ \ –\ \frac{1}{8a^3}\ =$  

•  $\left(5\ -\ \frac{1}{8a}\right)\left(25+\frac{5}{8a}+\frac{1}{64a^2}\right)$  

•  $\left(5\ -\ \frac{1}{2a}\right)\left(25+\frac{5}{2a}+\frac{1}{64a^2}\right)$  

•  $\left(5\ -\ \frac{1}{2a}\right)\left(25+\frac{5}{2a}+\frac{1}{4a^2}\right)$  

•  $\left(5\ -\ \frac{1}{2a}\right)\left(25-\frac{5}{2a}+\frac{1}{4a^2}\right)$  

• ninguna de las anteriores

 $Factorizar\ 8t^3+64\ =$  

•  $\left(2t+4\right)\left(8t^2+8t+16\right)$  

•  $\left(2t+4\right)\left(4t^2+8t+16\right)$  

•  $\left(2t+4\right)\left(8t^2-8t+16\right)$  

•  $8\left(t+2\right)\left(t^2-2t+4\right)$  

• ninguna de las anteriores

 $Factorizar\ \ \frac{2}{t^3}–16y^3$  

•  $\left(\frac{1}{t}-4y\right)\left(\frac{1}{t^2}+\frac{4y}{t}+14y^2\right)$  

•  $2\left(\frac{1}{t}-8y\right)\left(\frac{1}{t^2}+\frac{4y}{t}+14y^2\right)$  

•  $2\left(\frac{1}{t}+4y\right)\left(\frac{1}{t^2}-\frac{4y}{t}+16y^2\right)$  

•  $2\left(\frac{1}{t}-2y\right)\left(\frac{1}{t^2}+\frac{2y}{t}+4y^2\right)$  

• no se puede factorizar

 $Factorizar\ \ a^6–1=$  

•  $(a–1)(a+1)(a^4+a^2-1)$  

•  $(a^3–1)(a^6+a^3+1)$  

•  $(a–1)(a+1)(a^4-a^2+1)$  

•  $(a–1)(a+1)(a^4+a^2+1)$  

 $Factorizar\ 16x^3–54y^3$  

•  $\left(4x-3y\right)\left(4x^2+6xy+9y^2\right)$  

•  $2\left(2x-3y\right)\left(4x^2-6xy+9y^2\right)$  

•  $\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)$  

•  $2\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)$