(4k²+2k+1)+(-4k²+2k-1)

To solve this expression, we'll combine like terms.

Given: (4k² + 2k + 1) + (-4k² + 2k - 1)

Combine the like terms by adding the coefficients of k², k, and the constants:

4k² - 4k² + 2k + 2k + 1 - 1

Since the k² terms have opposite signs, they cancel each other out:

0k² + 4k + 0

Simplifying this expression further, we have:

4k

Therefore, the given expression (4k² + 2k + 1) + (-4k² + 2k - 1) simplifies to 4k.