FACTORING GCMF, DOTS, and SUM/DIFFERENCE OF TWO CUBES

 Find the greatest common monomial factor of $6m^5n^2-9m^4n^3+15m^3n^4-3m^2n^5$ . (1pt.)

•  $3mn$  

•  $3mn^2$  

•  $3m^2n$  

•  $3m^2n^2$  

 What is the factored form of $6m^5n^2-9m^4n^3+15m^3n^4-3m^2n^5$ ? (2pts.)

•  $3mn\left(2m^4n-3m^3n^2+5m^2n^3-mn^4\right)$  

•  $3mn^2\left(2m^4-3m^3n+5m^2n^2-mn^3\right)$  

•  $3m^2n\left(2m^3n-3m^2n^2+5mn^3-n^4\right)$  

•  $3m^2n^2\left(2m^3-3m^2n+5mn^2-n^3\right)$  

 What is the factored form of $25m^4-16n^2$ ? (2pts.)

•  $\left(5m^2+4n\right)\left(5m^2-4n\right)$  

•  $\left(5m^2+4n\right)\left(5m^2+4n\right)$  

•  $\left(5m+4n\right)\left(5m-4n\right)$  

•  $\left(5m+4n^2\right)\left(5m-4n^2\right)$  

 What is the factored form of $121m^2-36n^2$ ? (2pts.)

•  $\left(11m+4n\right)\left(11m-4n\right)$  

•  $\left(11m^2+4n\right)\left(11m^2-4n\right)$  

•  $\left(11m+6n\right)\left(11m-6n\right)$  

•  $\left(11m+6n^2\right)\left(11m-6n^2\right)$  

 What is the factored form of $27m^3-125n^3$ ? (4pts.)

•  $\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)$  

•  $\left(3m-5n\right)\left(9m^2+15mn+25n^2\right)$  

•  $\left(3m-5n\right)\left(9m^2+30mn+25n^2\right)$  

•  $\left(3m+5n\right)\left(9m^2-30mn+25n^2\right)$