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coefficients of polynomial

• To: mathgroup at smc.vnet.net
• Subject: [mg107939] coefficients of polynomial
• From: Jim Armstrong <yusufenginn at yahoo.com>
• Date: Wed, 3 Mar 2010 05:52:24 -0500 (EST)

Hi,

I am trying to find the coefficients d,e,f of this simple equating:

ax^2+bxy+cy^2=d(x+y)^2+e(x-y)^2+f(x^2-y^2)

I mean I am waiting for this type of solution:

d=(a-b+c)/2
e=b/2
f=(a-c)/2

so how can I get these constants?

I searched it and tried to use Solve, Expand...but either they dont give it or they solve it in terms of all terms (a,b,c,x,y).

Thanks a lot

• Follow-Ups:
  • Re: Re: Re: coefficients of
    • From: "Christoph Lhotka" <christoph.lhotka@univie.ac.at>
  • Re: Re: coefficients of polynomial
    • From: DrMajorBob <btreat1@austin.rr.com>
  • Re: coefficients of polynomial
    • From: "Carl K. Woll" <carlw@wolfram.com>
  • Re: coefficients of polynomial
    • From: Leonid Shifrin <lshifr@gmail.com>
  • Re: coefficients of polynomial
    • From: "Tony Harker" <a.harker@ucl.ac.uk>
  • Re: coefficients of polynomial
    • From: Daniel Lichtblau <danl@wolfram.com>
  • RE: coefficients of polynomial
    • From: becko BECKO <becko565@hotmail.com>
  • Re: coefficients of polynomial
    • From: Christoph Lhotka <lhochr@gmail.com>