apply simplification rules to an expression - Maple Help

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simplify - apply simplification rules to an expression

Calling Sequence

simplify(expr, n1, n2, ...)

simplify(expr, side1, side2, ...)

simplify(expr, assume=prop)

simplify(expr, symbolic)

Parameters

expr

-

any expression

n1, n2, ...

-

(optional) names; simplification procedures

side1, side2, ...

-

(optional) sets or lists; side relations

prop

-

(optional) any property

Basic Information

• 

This help page contains complete information about the simplify command. For basic information on the simplify command, see the simplify help page.

Description

• 

The simplify command is used to apply simplification rules to an expression.

• 

The simplify/expr calling sequence searches the expression, expr, for function calls, square roots, radicals, and powers. It then invokes the appropriate simplification procedures.

Examples

Simple Example

simplify412+3

5

(1)

Simplifying Trigonometric Expressions

e:=cosx5+sinx4+2cosx22sinx2cos2x:

simplifye

cosx4cosx+1

(2)

Simplifying Exponentials and Logarithms

simplifyⅇa+lnbⅇc

bⅇa+c

(3)

Controlling Simplification Rules

simplifysinx2+ln2x+cosx2

1+ln2+lnx

(4)

simplifysinx2+ln2x+cosx2,trig

1+ln2x

(5)

simplifysinx2+ln2x+cosx2,ln

sinx2+ln2+lnx+cosx2

(6)

Simplifying With Respect to Side Relations

f:=1x5y3+x4y2+1xy33+1:

simplifyf,x3=xy,y2=x+1

x4+x2+x+1

(7)

Using the assume option

g:=x2

g:=x2

(8)

simplifyg

csgnxx

(9)

simplifyg,assume=real

x

(10)

simplifyg,assume=positive

x

(11)

simplifyg,symbolic

x

(12)

Simplifying an Integral

  

Integrands and summands are simplified taking into account the integration or sum ranges respectively. For more information, see assuming.

expr:=∫141+sinht212ⅆt

expr:=∫141+sinht2ⅆt

(13)

simplifyexpr

∫14coshtⅆt

(14)

See Also

assume, assuming, collect, combine, convert, expand, factor, normal, RealDomain, RealRange, simplify, simplify/@, simplify/Ei, simplify/GAMMA, simplify/hypergeom, simplify/ln, simplify/polar, simplify/power, simplify/radical, simplify/RootOf, simplify/rtable, simplify/sqrt, simplify/trig


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