The product of two expressions can be calculated using distributive property as,
[tex](2x^3y+5xy^4)(3x^2)=2x^3y\times3x^2+5xy^4\times3x^2[/tex](Distributive property (A+B)C=AC+BC) )
[tex]\begin{gathered} (2x^3y+5xy^4)(3x^2)=6x^{3+2}y+15x^{1+2}y^4 \\ =6x^5y+15x^3y^4 \end{gathered}[/tex]Therefore, the product of the expressions is,
[tex]6x^5y+15x^3y^4[/tex]