Decomposition

 

In Maple

For comparison with other CAS choose from: Axiom Derive Macsyma Mathematica Reduce

inputs outputs

• finding of polynomial substitution which transforms a polynomial into another polynomial in further polynomials

      readlib( compoly );
  
      compoly( x^6 + 9*x^5 + 52*x^4 + 177*x^3 + 435*x^2 + 630*x + 593, x );
  

                        3    11                             2
                       x  + ---- + 5/3 x, x = 25/3 + 3 x + x
                             27

      compoly( x^4 + 2*x^3* y + 3*x^2* y^2 + 2*x* y^3 + y^4 + 2*x^2* y \
               + 2*x* y^2 + 2*y^3 + 5*x^2 + 5*x*y + 6*y^2 + 5*y + 9, x );
  

                        2              2                    2
                       x  + 11/4, x = y  + y + 5/2 + y x + x