Expandmod; Expln; Factor - HP 48gII Advanced User's Reference Manual

EXPANDMOD

Type: Function
Description: Expands and simplifies an algebraic expression, or an array of expressions, modulo the
current modulus.
!Þ
Access:
Input: An expression, or an array of expressions.
Output: The expanded and simplified expression, or array of expressions, modulo the current
modulus.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Example: Expand the following expression and give the result modulo 3:
x 3 + x 4
Command:
EXPANDMOD((X+3)*(X+4))
Result:
X^2+X

EXPLN

Type: Command
Description: Transforms the trigonometric terms in an expression to exponential and logarithmic terms.
!Ð or Convert, !Ú
Access:
Input: An expression
Output: The transformed expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Complex mode must be set (flag –103 set).
Example: Transform the following expression and simplify the result using the EXPAND command:
2
2 cos x
Command:
EXPLN(2*COS(X^2))
EXPAND(ANS(1))
Result: (
EXP(i*X^2)^2+1)/EXP(i*X^2)
See also: SINCOS

FACTOR

Type: Command
Description: Factorizes a polynomial or an integer:
• The function expresses a polynomial as the product of irreducible polynomials.
The function expresses an integer as the product of prime numbers.
•
Algebra, ...×or P
Access:
Input: An expression or an integer.
Output: The factorized expression, or the integer expressed as the product of prime numbers.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Results including complex terms are returned if complex mode is set (flag –103 set).
4-30 Computer Algebra Commands
MODULO
+
or !Þ
ALG
or PL
REWRITE EXP
POLY
&
LN