\begin{tabular}{|c|c|}\hline Factor the expression \( 4-16 a \) \\ \hline\( -16(1-4 a) \) & \( \square 4(1-4 a) \) \\ \hline \( 16(1-4 a) \) & \( \square 4(1+4 a) \) \\ \hline\end{tabular}

The expression \( 4 - 16a \) can be factored by first recognizing it as a difference of terms. By taking the common factor out, which in this case is 4, we get: \[ 4 - 16a = 4(1 - 4a). \] If you wanted to check how this works in real-world scenarios, think about how factoring makes calculations easier—say, you're dealing with quadratic equations in projectile motion, where breaking it down into manageable parts can clarify how different variables affect your results, ensuring safer and more efficient computations in physics or engineering. Also, when factoring expressions, watch out for common mistakes like losing negative signs or failing to recognize common factors correctly. Always double-check your distribution after factoring to ensure the original expression is accurately represented by the factored form.