Combining Expressions

To combine the terms in an expression using identities for exponents and elementary functions, such as ex or ln(x), select the expression and either:

If you want to specify additional rules for combining terms, type a comma after "combine." and then type a comma-separated list of the rules in the placeholder.

Then press [Enter].

Example:

xm·xn combine → xm+n

Optional Modifiers:

To use identities for elementary functions, such as ex or ln(x), type a comma after "combine," followed by a modifier specifying the types of identities to use. The following table lists the available modifiers.

Modifier Expression Type Example
atan Inverse Tangent Combining terms involving atan
exp Exponential ex + e2y combine, exp → ex+2y
ln Natural Logarithm Combining terms involving natural logarithms
log Logarithm Base b Combining terms involving logarithm base b
sincos Trigonometric Combining terms involving sine and cosine
sinhcosh Hyperbolic Combining terms involving hyperbolic sine

You can use the keyword "expand" to undo the results of "combine." For example,

xm·xn combine → xm+n expand → xm·xn

QuickSheet - Factoring and Expanding Expressions

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