Computer algebra
Simplification
Transforming an expression into a chosen simpler form while preserving meaning.
Definition
Simplification
Simplification applies valid identities to produce a form that is easier to use under stated assumptions.
There is no single simplest form for every purpose. Factored, expanded, and canceled forms expose different properties.
01
Example
x + x simplifies to 2x. The expression (x² − 1)/(x − 1) simplifies to x + 1 only where x is not 1.
02
Important distinction
Dropping a domain restriction can make a locally valid simplification state a false global equality.
After reading this article, you should be able to
- Define Simplification in the sense used on this site.
- Track the assumptions required by an algebraic simplification.