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Join Date: Jan 2011
Location: Smack in the middle of Illinois
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Are you sure it's a 2010 model? Honda does not list a 2010 TRX500 - it was sold in 2009, 2011 and other years, but not in 2010???
At any rate, here's the text from the 2012 service manual on removing the front final drive (the procedure should be the same for the 2009 and 2011 models)
FRONT FINAL DRIVE REMOVAL
Remove the following:
- left mudguard (page 2-6)
- engine guard (page 2-7)
- left drive shaft (page 19-7)
Drain the differential oil (page 3-19).
Remove the following from the final gear case:
- breather hose 
- select switch connector  (disconnect it and remove its wire from the guide  and clamp )
- cover bolt 
- clutch arm cover  (by releasing the two tabs )
- adjusting nut (1)
- cable retaining plate (2]
- selector cable  (remove from the cable holder  and joint pin )
- cable spring 
- joint pin
- base bolts 
- arm cover base 
- holder bracket 
- final gear case mounting nuts and bolts 
- two bolts  and mounting bracket (3)
Move the gear case assembly  forward for maximum clearance between the propeller shaft joint and engine.
NOTE: Turn the handlebar all the way to the right to move the gear case assembly. Put some cloth on the gear case to avoid scratch or damage the lie-rod end .
Pull the shaft joint  out of the output shaft  of the engine.
Remove the boot band  and release the propeller shaft boot  off the pinion joint  of the gear case assembly.
Pull the propeller shaft  to force the stopper ring  past the groove in the pinion joint to remove the propeller shaft.
Remove the stopper ring from the propeller shaft.
Remove the O-ring (8) from the output shaft.
Loosen the left lower arm pivot nuts and lower the lower arm.
Separate the right drive shaft  from the final gear case assembly  by tapping the right drive shaft end lightly through the gear case, using a screwdriver or equivalent.
Remove the gear case assembly from the frame.