(4k²+2k+1)+(-4k²+2k-1)

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

Starting with the first expression:

4k² + 2k + 1

And then adding the second expression (note the negative signs):

• (-4k² + 2k - 1)

Next, we group the like terms together:

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

Simplifying further, we combine the like terms within each group:

0k² + 4k + 0

Finally, we simplify the expression by removing the zero terms:

4k

Therefore, the result is 4k.