Show that if a^3 = b^3 if and only if a=b
Suppose a = b
a^3 = (a)(a)(a)
=(b)(b)(b)
=b^3
Prove other direction using contrapositive:
Suppose a != b, then a^3 != b^3
Case 1:
a>b
****I'm a little stuck here, I'm not sure if I'm allowed to say aaa>bbb by assuming a>b
a^3 = (a)(a)(a)
>(b)(b)(b)
=b^3
a^3 != b^3