Could someone please explain to me how to get through to the next step of verifying the identity?

$\displaystyle

cos^3 x sin^2 x = (sin^2 x - sin^4 x) cos x

$

$\displaystyle

cos x(sin^2 x - sin^4 x) =

$

$\displaystyle

cos x sin^2 x - sin^4 x cos x =

$

What Next?