(4k²+2k+1)+(-4k²+2k-1)

To simplify the expression (4k² + 2k + 1) + (-4k² + 2k - 1), you need to combine like terms.

Starting with the k² terms, you have 4k² and -4k². These add up to 0, so the k² term disappears.

Next, you have the k terms, which are 2k and 2k. These add up to 4k.

Finally, the constant terms are 1 and -1, which also add up to 0.

Therefore, the simplified expression is 4k.