Respuesta :

Answer:

Answer is Option D. [tex]6x^{2} y^{2}z(xy+2z^{2})[/tex]

Step-by-step explanation:

In the expression given we will do the factors of two polynomials first and then we will take the common factors out of the bracket.

First we do the factors of [tex]6x^{3} y^{3}z[/tex]=6×[tex]x^{2}[/tex]×x×[tex]y^{2}[/tex]×y×z

Now we do the factors of [tex]12x^{2} y^{2} z^{3}[/tex]=2×6×[tex]x^{2}[/tex][tex]y^{2}[/tex]×z×[tex]z^{2}[/tex]

Now take the common factors of both the polynomials out of the bracket

⇒[tex]3×2x^{2} y^{2}z(xy+2z^{2})[/tex]