Find the product.Simplify your answer. -3u^2(2u^2+2u) square

To find the product and simplify the expression \(-3u^{2}(2u^{2} + 2u)\), we need to distribute \(-3u^{2}\) to each term inside the parentheses.<br /><br />First, distribute \(-3u^{2}\) to \(2u^{2}\):<br />\[<br />-3u^{2} \cdot 2u^{2} = -6u^{4}<br />\]<br /><br />Next, distribute \(-3u^{2}\) to \(2u\):<br />\[<br />-3u^{2} \cdot 2u = -6u^{3}<br />\]<br /><br />Now, combine these results:<br />\[<br />-6u^{4} - 6u^{3}<br />\]<br /><br />So, the simplified answer is:<br />\[<br />\boxed{-6u^{4} - 6u^{3}}<br />\]