If a is an expanded multivariate polynomial in x, content returns the content of a with respect to x, i.e. the greatest common divisor of the coefficients of a with respect to the indeterminate(s) x, and primpart returns a divided by the content of a.

content and primpart are extended to rational functions in normal form multiplicatively:

where f may be content or primpart. Rational functions not in normal form will be normalized first. If the input a is not rational in x, it will result in an error.

The indeterminate(s) x can be a name, or a list or set of names. If x is not specified, then its default value is the set of all indeterminates occurring in a, as determined by indets.

When content is called with a third argument pp, pp is assigned the primitive part of a. Similarly, when primpart is called with a third argument co, co is assigned the content of a.

For all inputs, the primitive part is an expression in rational normal form consisting of a product of polynomial factors each with content 1.

The coefficients in a can be arbitrary expressions independent of x. Any floating point values are left untouched: any floating-point value is assumed to be indivisible with respect to any other value. Other nonpolynomial, nonrational subexpressions get the same treatment unless they are syntactically equal.

The sign is removed from the content, and not removed from the primitive part.

$\mathrm{content}\left(3-3x\,x\right)$

$3$

$\mathrm{content}\left(3xy+6y^2\,x\right)$

$3y$

$\mathrm{content}\left(3xy+6y^2\,\left[x\,y\right]\right)$

$3$

$\mathrm{content}\left(-4xy+6y^2\,x\,'\mathrm{pp}'\right)$

$2y$

$\mathrm{pp}$

$3y-2x$

$\mathrm{content}\left(\frac{x}{a}-\frac{1}{2}\,x\,'\mathrm{pp}'\right)$

$\frac{1}{2a}$

$\mathrm{pp}$

$2x-a$

$\mathrm{normal}\left(\frac{x}{a}-\frac{1}{2}\right)$

$-\frac{-2x+a}{2a}$

$\mathrm{content}\left(\frac{x}{a}-\frac{1}{2}\,\left\{a\,x\right\}\,'\mathrm{pp}'\right)$

$\frac{1}{2}$

$\mathrm{pp}$

$\frac{2x-a}{a}$

$\mathrm{content}\left(2.ux-2.v\,x\,'\mathrm{pp}'\right)$

$1$

$\mathrm{pp}$

$2.ux-2.v$

$\mathrm{content}\left(2.ux-2.u\,x\,'\mathrm{pp}'\right)$

$u$

$\mathrm{pp}$

$2.x-2.$

$\mathrm{content}\left(\mathrm{sqrt}\left(10\right)x+\mathrm{sqrt}\left(6\right)\,x\right)$

$1$

$\mathrm{primpart}\left(-4xy+6y^2\,x\right)$

$3y-2x$

$\mathrm{primpart}\left(\frac{x}{a}-\frac{1}{2}\,x\right)$

$2x-a$

The a parameter was updated in Maple 2023.