SymmetricReduction

SymmetricReduction[f, {x1, …, xn}] gives a pair of polynomials {p, q} in x1, …, xn such that f == p + q, where p is the symmetric part and q is the remainder.

• SymmetricReduction[f, {x1, …, xn}, {s1, …, sn}] gives the pair {p, q} with the elementary symmetric polynomials in p replaced by s1, …, sn.

Examples

SymmetricReduction[x^2 + y^2 + x*y, {x, y}]

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