Prove for all xεR [(-x)3 = -(x3)]
(Hint you may use the fact that -x = (-1)*x, but other wise stick to axioms)
I wrote something along the lines of .
(-x)3 can be written as (-1)(x)(x)(x) and -(x)3 can be written as (-1)((x)(x)(x))
and these are both equivalent
But it doesn't feel like I'm proving anything.
Not sure how to really write this out so there is enough "proof"