The expression $x^{3} + 2x^{2}y - xy^{2} + 4y^{3}$ has degree

The expression $x^{3} + 2x^{2}y - xy^{2} + 4y^{3}$ has degree
  1. $2$
  2. $3$
  3. $4$
  4. $5$

Solution

Each term has total exponent sum $3$ ($3, 2+1, 1+2, 3$). The degree is $3$.

Asked in: IMO

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