I am solving systems of equations. Solve provides a solution for each variable in terms of the parameters, for each system.
The size of the system and the format of the equations depend upon two other parameters, p and q.
Within each system, the denominator of the solution is the same for each variable, but these denominators differ from one system to the next.
I would like to know if it is possible for Mathematica to determine an equation or discern a pattern in the denominator in terms of p and q.
for p=2, q=3 the denominator is:
a^3 - 2abd + cd^2
for p=3 and q = 2 the denominator is:
ac - b^2
for p=3 and q=3 the denominator is:
b^3 + c^2d +a^2e - b(2ac+de)