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## Homework Statement

Prove for all xεR [(-x)

^{3}= -(x

^{3})]

(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"