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## Normal form : normal

normal takes as argument an expression. The expression is considered as a rational fraction with respect to generalized identifiers (either true identifiers or transcendental functions replaced by a temporary identifiers) with coefficients in or [i] or in an algebraic extension (e.g. []). normal returns the expanded irreducible representation of this rational fraction. See also ratnormal for pure rational fractions or simplify if the transcendental functions are not algebraically independant.
Input :
normal((x-1)*(x+1))
Output :
x^2-1
Remarks
• Unlike simplify, normal does not try to find algebraic relations between transcendental functions like cos(x)2 + sin(x)2 = 1.
• It is sometimes necessary to run the normal command twice to get a fully irreducible representation of an expression containing algebraic extensions.

giac documentation written by Renée De Graeve and Bernard Parisse