A) \( 4 a^{2}-8 a^{2}+4 \)

Let’s simplify the expression! First, combine the like terms \(4a^{2}\) and \(-8a^{2}\). That gives us \(-4a^{2}\). Now, adding the constant \(4\) back in, we get the final expression: \(-4a^{2} + 4\). Voila! It's all tidied up. Now, if you'd like to factor it out, you can pull out a common factor. Notice that both terms share a factor of \(-4\): \( -4(a^{2} - 1) \). And even better, you can recognize that \(a^{2} - 1\) is a difference of squares, which factors to \(-4(a - 1)(a + 1)\)! So there you go—a neat and tidy result.