(x²+x+1)+(x²-x+1)

To solve the expression (x²+x+1)+(x²-x+1), we can simplify it by combining like terms.

Let's first add the terms with the variable x together. We have x² + x + x² - x.

When we add the like terms, we get: 2x².

Now let's simplify the constant terms. We have 1 + 1, which equals 2.

Therefore, the final expression is 2x² + 2.