Maxwell's 59 off 41 balls helped RCB make 149/8 which proved six runs too many for SRH.
Maxwell was the focus of a bidding war between RCB and Chennai Super Kings which led to him eventually being sold for a whopping Rs 14.25 crore in the auction.
South African all-rounder Chris Morris fetched a whopping Rs 16.25 crore to become the biggest ever buy in IPL history.
Man-to-man, Delhi Capitals seem to have a slight edge, more so in the spin department, with the trio of R Ashwin, Amit Mishra and Axar Patel streets ahead of their counterparts from the Mohali-based side.
The Australians were in desperate trouble when they slumped to 73/5 chasing 303 for victory before Carey and Maxwell joined forces in a thrilling partnership of 212.
A century stand between Mitchell Marsh and Glenn Maxwell and four wickets for spinner Adam Zampa helped Australia down world champions England by 19 runs.
Beginning on September 4, Australia will play three Twenty20 Internationals in Southampton before moving to another bio-secure venue in Manchester for an equal number of one-dayers.
Maxwell will undergo surgery on his left elbow and will be replaced by D'Arcy Short in both squads.
Maxwell attributed his red-hot form in the ongoing Big Bash League to the break he took to address his mental health issues.
Maxwell said it was his girlfriend Vini Raman, who first noticed the change in him.