OK, I'm far from an authority on these matters but will give it a try. Feel free to correct obvious inaccuracies

Pitch Trim: the centre of pressure on a wing is not located in the same place as the aircraft's centre of gravity. The centre of pressure can be taken as the point on which the upward lift force acts on the aircraft, whilst the centre of gravity is that point on which the downward weight force acts. If the CP is forward of the CG (as on most WW2 aircraft), then increases in speed result in a pitching up of the aircraft. Therefore, the faster you go, the more down trim you need.
Roll Trim: Whilst engine torque is the primary reason we need roll trim, it's wrong to say that the actual rolling force is a function of speed. Rather, imagine flying trimmed out at 150 kias. Engine torque has been negated by the aileron trim tabs, so you are in stable trimmed flight. You won't roll because AT THAT SPEED the airflow over the trim tabs counteracts the engine torque. Now imagine speeding up to 400 kias. Now there will be an increased airflow over the trim tabs, leading to a tendency to roll, not because of increased engine torque, but simply because the trim tabs now exert more force due to increased airspeed.
Yaw Trim. Since gyroscopic precession is modelled in AH, yaw trim becomes a factor. The propeller disk acts as a big gyroscope. Spin a gyro and put it on your desk, push it forward with your hand and it will actually move at 90 degrees to the direction of force.
So fly an aircraft straight and level, and pitch up. This is like pushing the gyroscope on the desk. The reaction will come at 90 degrees to the initial force, which will result in a sideways reaction on the aircraft, leading to a yaw effect.
A secondary consideration is that the airflow past the fuselage is not straight, but rather corkscrewed from the propeller. So the airflow 'wraps around' the fuselage, eventually striking the left hand side of the vertical stabiliser, creating a yaw moment. The faster the speed, the greater the force exterted through this corkscrew slipstream.
Yaw also becomes a problem since when deflecting ailerons, the downgoing aileron creates more drag than the upgoing aileron, causing a phenomenon known as adverse yaw. Roll left, and the aircraft will tend to yaw right because of greater drag on the right wing. That's why a co-ordinated turn involves inputting rudder in the direction of the rolling moment.
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C.O. Phoenix Squadron
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