Find the product . Simplify your answer. -4(-k^2-4k+4) square

To find the product and simplify the expression \(-4(-k^{2}-4k+4)\), we need to distribute the \(-4\) across each term inside the parentheses.<br /><br />First, distribute \(-4\) to \(-k^2\):<br />\[<br />-4 \cdot (-k^2) = 4k^2<br />\]<br /><br />Next, distribute \(-4\) to \(-4k\):<br />\[<br />-4 \cdot (-4k) = 16k<br />\]<br /><br />Finally, distribute \(-4\) to \(4\):<br />\[<br />-4 \cdot 4 = -16<br />\]<br /><br />Now, combine all these results:<br />\[<br />4k^2 + 16k - 16<br />\]<br /><br />Thus, the simplified form of the expression is:<br />\[<br />\boxed{4k^2 + 16k - 16}<br />\]