Let D = 
=Opening the D with Sarru's formula....
D = pa.ra.qa + qc.pc.rc + rb.pb.qb - [ ra.rb.rc + pa.pb.pc + qa.qb.qc]
D = pqra3 + pqrc3 + pqrb3 - [ r3abc + p3abc + q3abc]
so... D = pqr [ a3 + b3 + c3 ] - abc [ p3 + q3 + r3 ]
but as we know.....if a + b + c =0 then.......a3 + b3 + c3 = 3abc
so...D = pqr [3abc] - abc[3pqr]
so...D = 0....
hope its clear.....