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MathGroup Archive 2006

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Re: Factor.....

  • To: mathgroup at smc.vnet.net
  • Subject: [mg70986] Re: Factor.....
  • From: dh <dh at metrohm.ch>
  • Date: Fri, 3 Nov 2006 01:39:41 -0500 (EST)
  • References: <eicnmq$g3i$1@smc.vnet.net>


Hi,

you have to tell Mathematica what form you want.

Assume e.g. that we want the form (A^2 + a1 A + a0)(A^2 + b1 A + b0). 

Then we expand, equate the coefficients of A and solve for a0,a1,b0,b1:

r1=CoefficientList[(A^2+A a1+a0)(A^2+b1 A+ b0)//Expand,A]

r2=CoefficientList[A^4+3+y^2,A]

Solve[Thread[r1==r2],{a0,a1,b0,b1}]

this gives several possible expansions.



Daniel



gtsavdar at auth.gr wrote:

> How can i factor A^4 + 3 + y^2 (A,y reals) for example with

> Mathematica.....?

> 

> 

> (

> In order to have:

> (A^2 + SQRT(y^2+3) + A·SQRT(2*SQRT(y^2+3))) · (A^2 + SQRT(y^2+3) -

> A·SQRT(2*SQRT(y^2+3)))

> )

> 

> (

> OR:

> (y^2 - i·SQRT(A^4+3)) · (y^2 + i·SQRT(A^4+3))

> )

> 

> 

> Thanks....

> 



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