Find the product Simplify your answer. -3d^2(-4d^2+8) square

To find the product and simplify the expression \(-3d^{2}(-4d^{2}+8)\), we need to distribute \(-3d^{2}\) to each term inside the parentheses.<br /><br />First, distribute \(-3d^{2}\) to \(-4d^{2}\):<br />\[<br />-3d^{2} \cdot (-4d^{2}) = 12d^{4}<br />\]<br /><br />Next, distribute \(-3d^{2}\) to \(8\):<br />\[<br />-3d^{2} \cdot 8 = -24d^{2}<br />\]<br /><br />Now, combine these results:<br />\[<br />12d^{4} - 24d^{2}<br />\]<br /><br />So, the simplified form of the expression is:<br />\[<br />\boxed{12d^{4} - 24d^{2}}<br />\]