im new to the fourm ive been lurking for a while and this fourm heloped me outalot currenty my car pulls to the right or left depeding on the day yesterdyi was chaginging the breaks and noticed a rubber peice and [arts coated in oil i love diy but i dont knw what its called in order t order the parts and find a tutorial so i attached a picture the part is conncted to the weel as i turn it turns

 

Axle or steering rack.

 

Inner tie rod end is what it looks like. That boot shouldn't be torn back like that, and since you have no idea how long it's been like that you would be best to replace it.

 

axle boot torn.grease flown.dirt/debris inside. Replace immediately.

 

Inner tie rod and bellows.

 

The one with rubber boot is inner tie rod.

 

Your picture is of a torn steering boot / bellow, and the inner tie rod.

Bellows/boots don't leak oil, so fluid in the area may be indicative of a problem with the steering rack seals.
Please note that it's also common for oil to leak down on top of the boot from the valve cover gasket, or for power steering fluid to leak down on top of the boot from the hoses or the power steering pump which are also in the area. So, you may not necessarily have a rack problem if one of these is the culprit. These would also explain your boot ripping like that as fluid leaking on top of them tends to weaken the rubber making them easy to tear.

Typical inner / outer tie rod symptoms are clunking / knocking sound when turning the steering wheel (especially at low speed). In general, Steering pulls are typically symptoms of a bad alignment.

If I were you, I'd examine the inner and outer tie rod ends, check for play on both. If there is a lot of play or sounds when turning the wheel back and forth, replace the inner and outer tie rods, the steering boot / bellow, and then have the car aligned. This should eliminate the issues with the boot/bellow, tie rod ends, and any steering pull.