Chapter 2: Main Application 61
u rFactor [Action][Transformation][factor][rFactor]
Function: Factors an expression up to its roots, if any.
Syntax: rFactor (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To factor
x
2
Ҁ 3
u factorOut [Action][Transformation][factor][factorOut]
Function: Factors out an expression with respect to a specified factor.
Syntax: factorOut (Exp/Eq/Ineq/List/Mat, Exp [ ) ]
Example: To factor “a” out a
x
2
+ b x + c
u combine [Action][Transformation][combine]
Function: Transforms multiple fractions into their common denominator equivalents and reduces them, if
possible.
Syntax: combine (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform and reduce (
x + 1)/( x + 2) + x ( x + 3)
u collect [Action][Transformation][collect]
Function: Rearranges an expression with respect to a specific variable.
Syntax: collect (Exp/Eq/Ineq/List/Mat[,Exp] [ ) ]
• “
x ” is the default when you omit “[,Exp]”.
Example: To rearrange
x
2
+ a x + b x with respect to x
u tExpand [Action][Transformation][tExpand]
Function: Employs the sum and difference formulas to expand a trigonometric function.
Syntax: tExpand(Exp/Eq/Ineq/List/Mat [ ) ]
Example: To expand sin (a + b)
u tCollect [Action][Transformation][tCollect]
Function: Employs the product to sum formulas to transform the product of a trigonometric function into an
expression in the sum form.
Syntax: tCollect (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform cos(a) × cos(b) into an expression in the sum form
u expToTrig [Action][Transformation][expToTrig]
Function: Transforms an exponent into a trigonometric or hyperbolic function.
Syntax: expToTrig (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform
e
ix
into a trigonometric function (Radian mode)
u trigToExp [Action][Transformation][trigToExp]
Function: Transforms a trigonometric or hyperbolic function into exponential form.
Syntax: trigToExp (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform cosh
x into exponential form
