Q: macbook pro's problem

This is the Mac Pro desktop forum. I requested your post be moved to the MacBook Pro laptop forum.

Based on the activities that you have mentioned, the MBP may actually be operating normally.  Resource intensive applications will generate heat and thus increase the fan speed.

Download iStat menus:

http://bjango.com/mac/istatmenus/

Open Activity Monitor to ALL PROCESSES and CPU to display values from high to low.

When your MBP gets hot, post images of both for review.

Ciao.

Google Chrome and its various components is the enemy.  It is a resource glutton among browsers and has had a history of compatibility problems with OSX.  If you rid your MBP of Google Chrome and its various components and use another browser instead (Firefox, Safari, opera) and run the same applications, you should see a temperature drop.

Ciao.

Run an Apple Hardware Test:

https://support.apple.com/en-us/HT202731

That might offer a clue.

Ciao.

My early 2015 macbook pro runs ridiculously hot as well. Fans don't seem to come on until too late and then they don't even come on full steam.  Might resort to fan control but that is controlling the symptoms and not the problem.  Might try reinstalling yosemite.