We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( n+15 \right) \cdot \color{orangered}{2n^2} &= n \cdot \color{orangered}{2n^2} + 15 \cdot \color{orangered}{2n^2} = \\ &= 2n^3+30n^2 \end{aligned} $$