AS further maths roots of quadratics question

Just a quick question, ive been given a quadratic and using its roots, $\alpha$ and $\beta$, i have to form equation with related roots.

i have to find an equation with integer coefficients whose roots are $\alpha\beta^2$ and $\alpha^2\beta$.

Is the product of $\alpha\beta^2$ and $\alpha^2\beta$
$\alpha^3\beta^3$ or do i put it into brackets and expand?

yes it is $\alpha^3\beta^3$ I am not sure what you were thinking of doing with brackets

I thought that since i had to multiply them it would make sense to do
$(\alpha\beta^2)(\alpha^2\beta)$ and then multiply out the brackets