If x2+y2=z2x^2 + y^2 = z^2x2+y2=z2 and p∣xyzp | xyzp∣xyz, which of the following is always true for an odd prime ppp?
p∣xp | xp∣x or p∣yp | yp∣y
p∣xp | xp∣x or p∣yp | yp∣y or p∣zp | zp∣z
ppp cannot divide zzz
ppp must divide x+y+zx+y+zx+y+z