(x²+x+1)+(x²-x+1)

To solve the expression, we can simply combine like terms.

For the first set of parentheses, (x²+x+1), all terms are distinct and cannot be simplified further.

For the second set of parentheses, (x²-x+1), we can see that the x² and -x terms cancel each other out, leaving us with just 1.

Adding the two sets of parentheses together, we have: (x²+x+1) + (x²-x+1) = x² + x + 1 + 1 = x² + x + 2

So, the final answer is x² + x + 2.