I want to know if there exists a command in Maple that can show how a multivariate polynomial is expressed in the specific ideal, and show what this expression is. ex: $$D4 := a_0^3*a_4^3 - 12*a_0^2*a_1*a_3*a_4^2 - 18*a_0^2*a_2^2*a_4^2 + 54*a_0^2*a_2*a_3^2*a_4 - 27*a_0^2*a_3^4 + 54*a_0*a_1^2*a_2*a_4^2 - 6*a_0*a_1^2*a_3^2*a_4 - 180*a_0*a_1*a_2^2*a_3*a_4 + 108*a_0*a_1*a_2*a_3^3 + 81*a_0*a_2^4*a_4 - 54*a_0*a_2^3*a_3^2 - 27*a_1^4*a_4^2 + 108*a_1^3*a_2*a_3*a_4 - 64*a_1^3*a_3^3 - 54*a_1^2*a_2^3*a_4 + 36*a_1^2*a_2^2*a_3^2;$$ $$I2 := -a_0*a_4 + 4*a_1*a_3 - 3*a_2^2;$$ $$I3 := -a_0*a_2*a_4 + a_0*a_3^2 + a_1^2*a_4 - 2*a_1*a_2*a_3 + a_2^3;$$ $$P := PolynomialIdeal(I3, I2);$$ $$IdealMembership(D4, P); true$$
---------- I tried the command "split" and "factor", but it seems doesn't work.