The expression \[(x+y+z)^{2006}+(x-y-z)^{2006}\]is simplified by expanding it and combining like terms. How many terms are in the simplified expression?
Question:
The expression \[(x+y+z)^{2006}+(x-y-z)^{2006}\]is simplified by expanding it and combining like terms. How many terms are in the simplified expression?
Answer:
Let's think step by step.

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The expression \[(x+y+z)^{2006}+(x-y-z)^{2006}\]is simplified by expanding it and combining like terms. How many terms are in the simplified expression?
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