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 tofewNumber Theory Properties :
- Zero Divisors,
- Integral Domain.
Origin of “Integral” => Integers
Definition of Integral Domian:
Property:Cancellation Law
Reading:
THEOREMS:(PROOF Here)
- Every Field is an Integral Domain.
- Every finite Integral Domain is a Field.
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