# How do you multiply (5y^2-3)(y^3+2)?

$5 {y}^{5} + 10 {y}^{2} - 3 {y}^{3} - 6$
$\left(5 {y}^{2} - 3\right) \left({y}^{3} + 2\right)$
= $5 {y}^{2} \left({y}^{3} + 2\right) - 3 \left({y}^{3} + 2\right)$
= $5 {y}^{5} + 10 {y}^{2} - 3 {y}^{3} - 6$