In Exercises 1-3, identify the quadric with the given equation and give its equation in standard form.
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1. 4x2 + 4y2 + 4z2 + 4xy + 4xz + 4yz = 8
2. x2 + y2 + z2 - 4yz = 1
3. -x2 - y2 - z2 + 4xy + 4xz + 4yz = 12
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