The answer I am looking for after a lot of grief is : h*(((sw*cwj+cw*swj)*cw1+swj)*sw1j+cw1j*sw1*(sw*cwj+cw*swj))-swj*cw1j*sw1+sw*cwj*sw1j where h=cw-cw1 (the required factor) I wish there was a simple way to get to here using maple and i cannot find it.

I forgot to say the identities cw^2=1-sw^2 and cw1^2=1-sw1^2 apply