If I am given that $X_1$ and $X_2$ are independent, can the formula $Var(X_1X_2)$ be "manipulated" anymore than it already is? I think this is as far as I can go but I'm not sure. The formula is supposed to be in terms of $\mu_1=E(X_1)$ , $\sigma_1^2=Var(X_1)$ , $\mu_2=E(X_2)$, and $\sigma_2^2=Var(X_2)$. So what I did was this: $$Var(X_1X_2)=Var(X_1)Var(X_2)=\sigma_1^2\sigma_2^2$$ $$=(E(X_1^2)-(E(X_1))^2)(E(X_2^2)-(E(X_2))^2)$$ and since $E(X_1)$ and $E(X_2)$ equal $\mu_1$ and $\mu_2$, $$(E(X_1^2)-\mu_1)(E(X_2^2)-\mu_2)$$ Can this be manipulated any further? I feel like it can but I'm not sure how.