Answer:
not equivalent
Explanation:
You want to know if (x² +1) is equivalent to (2/3x² +1/3x² +1 +x).
Simplified
The second expression simplifies to ...
(2/3 +1/3)x² +x +1 = x² +x +1
This 3-term expression has an extra term that is not found in the first expression. The two expressions are not equivalent.
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Additional comment
You can combine like terms (expressions with the same variables to the same powers), but you cannot combine unlike terms. The added x term in the second expression is what makes it not equivalent to the first expression.
Equivalent expressions have the same graph. These do not.
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