difference between prove that,show that

Question

what is meant by prove that?

Answer 1

From the online free dictionary, PROVE means

 

4. Mathematics
a. To demonstrate the validity of (a hypothesis or proposition).
b. To verify (the result of a calculation).

Answer 2

Hey Charani -- "show that" is a relaxed standard of presenting just one specific example of the case: "it can." "Prove that" is an air-tight presentation of "it must" for all general instances of the case being considered. Regards :)