Formula Manipulation and Simplification

R2026b

Simplify or modify expressions, substitute parts of expressions

Transform your expression into the particular form you require (expanded, factored, or expressed in particular terms) by choosing the appropriate function. See Choose Function to Rearrange Expression. If you just need a simpler expression, use simplify. You also can substitute for any part of an expression with another value by using subs.

Live Editor Tasks

Simplify Symbolic Expression

Simplify symbolic expressions in Live Editor

Functions

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Simplification

`simplify`	Algebraic simplification
`simplifyFraction`	Simplify symbolic rational expressions
`subexpr`	Rewrite symbolic expression in terms of common subexpressions

Formula Rearrangement and Rewriting

Polynomials & Fractions

`coeffs`	Coefficients of polynomial
`expand`	Expand expressions and simplify inputs of functions by using identities
`frac`	Find fractional part
`horner`	Horner nested polynomial representation
`numden`	Extract numerator and denominator
`partfrac`	Partial fraction decomposition

Rewriting & Decomposition

`children`	Subexpressions or terms of symbolic expression
`collect`	Collect coefficients of identical powers
`combine`	Combine terms of identical algebraic structure
`compose`	Functional composition
`displayFormula`	Display symbolic formula and text
`divisors`	Divisors of integer or expression
`factor`	Factorization
`isolate`	Isolate variable or expression in equation
`lhs`	Left side (LHS) of equation
`mapSymType`	Apply function to symbolic subobjects of specific type
`rewrite`	Rewrite expression in terms of another function
`rhs`	Right side (RHS) of equation

Substitution

`subexpr`	Rewrite symbolic expression in terms of common subexpressions
`subs`	Symbolic substitution

Topics

Choose Function to Rearrange Expression

Several functions are available to manipulate expressions. Understand which function to use.
- Extract Numerators and Denominators of Rational Expressions
Simplify Symbolic Expressions

Simplifying symbolic expressions, including assumptions and additional options.
- Simplify Symbolic Expressions Using Live Editor Task
Substitute Values into Symbolic Expressions Using subs

Substitute values into symbolic expressions for various tasks such as evaluation, simplification, and verification.
Pattern-Based Substitution
Use pattern-based substitution to rewrite and simplify expressions by matching and replacing specific expression patterns. (Since R2026b)
Developing an Algorithm for Undistorting an Image
This example develops a mathematical model using the Symbolic Math Toolbox™ to undistort an image and features a local function in the live script.
Abbreviate Common Terms in Long Expressions
Simplify the display of long expressions by abbreviating common terms.

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