verify:

Question

sin^3 x - cos^3 x = (sinx+cosx)(1-sinxcosx)

Answer 1

sin³x-cos³x
=(sin(x)-cos(x))(sin²x+sin(x)cos(x)+cos²(x))
=(sin(x)-cos(x))(1+sin(x)cos(x))

Either there is a typo in the question, or the identity is not valid.