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PolynomialTools

 SquareFreePart

 Calling Sequence SquareFreePart(f) SquareFreePart(f, x)

Parameters

 f - multivariate polynomial x - name or list or set of names

Description

 • This function computes the square-free part of the polynomial f. That is, it computes g so that $\mathrm{gcd}\left(g,f\right)=g$ and $g$ has no repeated factors.

Examples

 > $\mathrm{with}\left(\mathrm{PolynomialTools}\right):$
 > $\mathrm{SquareFreePart}\left(\left(x+y+1\right)\mathrm{expand}\left({\left(x+y+1\right)}^{2}\right){\left(x-y-3\right)}^{3}\left(3x+6y-21\right),\left\{x,y\right\}\right)$
 $\left({x}{+}{y}{+}{1}\right){}\left({x}{-}{y}{-}{3}\right){}\left({x}{+}{2}{}{y}{-}{7}\right)$ (1)
 > $\mathrm{SquareFreePart}\left(A-\mathrm{exp}\left(x\right)\right)$
 ${A}{-}{{ⅇ}}^{{x}}$ (2)

Compatibility

 • The PolynomialTools[SquareFreePart] command was updated in Maple 2017.