Remember when you cancel a common factor at both sides of an equation, you must check if the factor is non-zero, otherwise you would miss some answers.
This is about Cancellation Law, related to few Number Theory Properties :
- Zero Divisors,
- Integral Domain.
Origin of “Integral” => Integers
Definition of Integral Domian:
Property: Cancellation Law
THEOREMS: (PROOF Here)
- Every Field is an Integral Domain.
- Every finite Integral Domain is a Field.