       Re: silly questions?

• To: mathgroup at smc.vnet.net
• Subject: [mg59088] Re: [mg59052] silly questions?
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Thu, 28 Jul 2005 02:27:42 -0400 (EDT)
• References: <200507270526.BAA20063@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```
On 27 Jul 2005, at 07:26, Kent Holing wrote:

> Why does not (x^5-32)/(x-2)//FullSimplify in Mathematica  work?
> Compare with Factor[x^5-32]//InputForm which returns (-2 + x)*(16 +
> 8*x + 4*x^2 + 2*x^3 + x^4).
> So why does not the first command just return 16 + 8*x + 4*x^2 +
> 2*x^3 + x^4?
> As in a factorization above, how is the easiest way to pick
> automatically (by a function) the factors of say degree >=2,  if any ?
>
> Kent Holing
>
>

Very "simple". What makes you think the cancelled out form is "simpler"?

LeafCount[(x^5-32)/(x-2)]

11

while

LeafCount[Cancel[(x^5-32)/(x-2)]]

18

The cancelled form is much more "complicated", at least as measured
by LeafCount (and Mathematica's default complexity function).

make the expression more "complex":

Simplify[(x^5 - 32)/(x - 2), ComplexityFunction ->
(1/LeafCount[#1] & )]

x^4 + 2*x^3 + 4*x^2 + 8*x + 16

But it is of course much more sensible to just use Cancel.

Andrzej Kozlowski

```

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