I owned a BA Falcon, which I used as a taxi for four years. I found the cure for a noisy diff was to change the oil and add Penrite Diff Additive. There was never a murmur after that.
I can recall when driving XR8 utes around the Winton race track a few years ago that it only took a couple of laps of hard driving for the diff to start whining. The answer than was to change the oil. It's a good tip for anyone whose car has a noisy diff.
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