expand (Symbolic Math Toolbox)

Symbolic expansion

Syntax

```
R = expand(S)
```

Description

expand(S) writes each element of a symbolic expression S as a product of its factors. expand is most often used only with polynomials, but also expands trigonometric, exponential, and logarithmic functions.

Examples

expand((x-2)*(x-4)) returns

```
 x^2-6*x+8
```

expand(cos(x+y)) returns

```
cos(x)*cos(y)-sin(x)*sin(y)
```

expand(exp((a+b)^2)) returns

```
exp(a^2)*exp(a*b)^2*exp(b^2)
```

expand([sin(2*t), cos(2*t)]) returns

```
[2*sin(t)*cos(t), 2*cos(t)^2-1]
```

See Also

collect, factor, horner, simple, simplify, syms

expm ezcontour