Find the sum of $4xy - 3yz + 2zx$ and $-2xy + 5yz - zx$.

Find the sum of $4xy - 3yz + 2zx$ and $-2xy + 5yz - zx$.
  1. $2xy + 2yz + zx$
  2. $2xy - 2yz + zx$
  3. $6xy + 8yz + 3zx$
  4. $2xy + 2yz + 3zx$

Solution

$(4-2)xy + (-3+5)yz + (2-1)zx = 2xy + 2yz + zx$.

Asked in: IMO

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