# What is the difference between NP hard and NP complete?

What is the definition of P, NP, NP-complete and NP-hard?

here is a good answer but it really doesn't answer mym question.

np-hard-: a problem A is NP hard if for all B$$\in$$NP, B is polynomial time reducible to A.(i.e A is easier than B). Then why is A called NP Hard? It should be called NP easy problem? Isn't it?

np complete-: A problem is NP complete if problem is in both NP and NP hard.

SO basically np complete=np hard. What is the difference between np hard and np complete?