# Quaint quintic

Algebra Level 3

The polynomial expression in two variables

$f(x,y) = x^5 + 3y^2 - 3x^2+y^5$

can be factorized into the product of two non-constant polynomials with integer coefficients, namely

$f(x,y) = g(x,y) \times h(x,y).$

Evaluate $$|g(2,2)|+|h(2,2)|.$$

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