Decomposition

 

In Reduce

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

inputs outputs

• decomposing a polynomial into simpler polynomials which when composed, produce the original polynomial

      decompose(x**6+9x**5+52x**4+177x**3+435x**2+630x+593);
  

        3       2                  2
      {u  + 25*u  + 210*u + 593,u=x  + 3*x}

      decompose(x**4+2x**3*y + 3x**2*y**2 + 2x*y**3 + y**4 + 2x**2*y
               +2x*y**2 + 2y**3 + 5 x**2 + 5*x*y + 6*y**2 + 5y + 9);
  

        2              2          2
      {u  + 5*u + 9,u=x  + x*y + y  + y}