(4k²+2k+1)+(-4k²+2k-1)

To add the two expressions, you can simply combine like terms:

(4k² + 2k + 1) + (-4k² + 2k - 1)

Combine the terms with the same exponent:

4k² - 4k² + 2k + 2k + 1 - 1

Since the terms 4k² and -4k² cancel out, we are left with:

4k + 2k + 0

Simplifying further:

6k + 0

The final simplified expression is:

6k