I am currently smashing my face into my desk from frustration of this trig proof. People have told me it's easy, but for whatever reason, I can not for the life of me figure out how to do it. The problem is:

(sin³x + cos³x) / (sinx + cosx) = (1 - sinx cosx)

Any help with this would be greatly apperciated..

Thanks in advance! (Cool)