This is Australia’s seventh win in eight Ashes series down under and a regaining of the urn after England’s triumph on home soil in 2015.
Australia have also won eight consecutive home Tests against England, equalling a record that goes back to the 1920s.
They will now target a second successive 5-0 whitewash in Australia – and third in 11 years – with matches in Melbourne and Sydney still to come.
England’s defence of the urn was damaged before they even named their squad, when all-rounder and talisman Ben Stokes was arrested for his part in an altercation outside a Bristol nightclub in September.
Stokes did not make the trip down under, while the tourists also had to deal with the off-field distractions of Bairstow being accused of ‘headbutting’ Australia opener Cameron Bancroft and Lions batsman Ben Duckett pouring a drink over James Anderson.
On the field, they had opportunities. Australia were reduced to 76-4 and 209-7, yet still won the first Test by 10 wickets, while England were poor with ball and bat in the first innings of the second Test, with a recovery coming too late.
In Perth, they slipped from 368-4 to 403 all out, then saw Australia rack up 662-9 declared.