Which of the following is equal to the average (arithmetic mean) of ~$\left ( x+2 \right )^{2}$~ and ~$\left ( x-2 \right )^{2}$~ ?


~$x^{2}$~

~$x^{2}+2$~

~$x^{2}+4$~

~$x^{2}+2x$~

~$x^{2}+4x$~

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Prep2007E2-PS