LHS = (x+y)^5*(x-y)^5

(1) x+y=+5 or -5. And do not know which one is greater: x or y? Insufficient.

(2) x>y. Do not know whether they are (+, +) or (-,-). Insufficient.

Combining: Insufficient. Suppose x=3, y=2. LHS>0.

Suppose x=-2, y = -3. LHS<0.

E