Which one is best and why ?.
Can you please explain me or
Could you please explain me.
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Can you please explain me or
Could you please explain me.
This is a bit hard to understand, but I'm assuming you meant to write
Can you please explain it to me?
Would you please explain it to me?
If this is what you meant to write, then would means that you would like someone to explain it to you. Can, in context, would refer to if you can explain it. In other words, can sounds more demanding and would means it's optional or something.
As noted by Relentive you missed a 'to' in each sentence.
So the differences between
and
In the second sentence the verb (could) is in the conditional tense (I think) - but can is in the present (I think).
The difference in meaning is small.
'Could you' is more polite than 'Can you' and it sounds better - particularly if you are asking someone to do something for you.