Braking while taking a curve will increase the probability of losing traction as the wheel has to deal with both a lateral force as well as a longitudinal force.
At speed one will be forced onto the outside curve of the road which will contain loose grit and gravel causing the wheels to loose traction.
If you are on the inside lane, you will be forced onto the outside lane into the path of oncoming traffic. Be careful of high-speed oncoming traffic doing the same onto your side of the road.
Likewise, if you are on the outside lane, you may be forced to cut across the inside lane in an effort to make the arc shallower. Be careful of high-speed oncoming traffic doing the same onto your side of the road.
A curve may be gradual and imperceptible to a road user not paying attention.
If you are not familiar with a road and cannot see around the curve, take the curve slower than normal as the curve may become ever tighter as you progress around it. On the other hand, you don't want to take such a curve too slowly in case you are collided into by a faster vehicle from the rear.
If the suspension is worn, taking a curve at even a slower speed could cause the vehicle to lose control.
If travelling in a multiple lane in the same direction around a curve, be on the lookout for any vehicle crossing into your lane.
