What is the difference between the two Brookfield Renewable Partner stocks below?

I guess to fully answer your question as I didn't in the original, if I was buying BEP in a tax-sheltered account, I'd buy BEP.UN as it tends to trade at a slight discount to BEPC. If I was owning it in a taxable account, I'd own BEPC for the tax benefits.

The easiest explanation possible is that it's simply a tax consideration.
Brookfield spun these corporations out (BIPC and BEPC) for them to be more attractive to Canadian investors because they pay out a dividend over a cash distribution. In most cases, the dividend is going to be taxed better than the distribution