The arithmetic mean between the numbers $(x+y)^{2}$ and $(x-y)^{2}$ is equal to

The arithmetic mean between the numbers $(x+y)^{2}$ and $(x-y)^{2}$ is equal to
1). $x^{2}+y^{2}$
2). $(x-y)^{2}$
3). $2x^{2}+y^{2}$
4). None of these

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