The front differential is an 'open' diff. A broken axle would not cause the car to veer to one side, rather all the power would go to the broken axle and none to the 'good' side. The car would go nowhere, unless it's AWD and the power to the rear diff moved the car.
Power to one wheel comes either from a locked brake (probably not applicable in this case - RPM flare) or a ruined differential, where one side is locked and power is still able to drive the other side.
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