The given polynomial is:
[tex]18cd^2+12c^2d+9cd[/tex]The first step to factor taking out the GCF is to write each term in prime factored form, so:
[tex]\begin{gathered} 18cd^2=2\times3\times3\times c\times d\times d \\ 12c^2d=2\times2\times3\times c\times c\times d \\ 9cd=3\times3\times c\times d \end{gathered}[/tex]The second step is to identify the factors common in all terms, they are: 3xcxd
Finally, factor out the GCF:
[tex]3cd(6d+4c+3)[/tex]The answer is above
