Proving a+b=b+a Using Ring Axioms

[juniormint]

Homework Statement

Show that a+b = b+a follows from the other ring axioms.

Homework Equations

a + 0 = 0 + a = a (?)

The Attempt at a Solution

I know this is probably a simple algebraic manipulation, probably with the distributive law, but I don't know how to start! I'm sure I need some 1s and 0s somewhere.

Thanks!

 

[Office_Shredder]

(1+1)(a+b)

Try expanding in two different ways