Question

Explain how a theorem is different from an Axiom.​

Answer 1

A mathematical statement that we know is true and which has a proof is a theorem. ... So if a statement is always true and doesn't need proof, it is an axiom. If it needs a proof, it is a conjecture. A statement that has been proven by logical arguments based on axioms, is a theorem.

Answer 2

Answer:

Theorems can be proved but axioms can't be proved as they are taken for granted.

For eg., The halves of a whole is smaller than the whole itself. This is an axiom.

Hope it helps you.