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

To find the product and simplify the expression \(-8(2d^2 - 4d + 3)\), we need to distribute \(-8\) to each term inside the parentheses.<br /><br />Let's break it down step by step:<br /><br />1. Distribute \(-8\) to \(2d^2\):<br /> \[<br /> -8 \cdot 2d^2 = -16d^2<br /> \]<br /><br />2. Distribute \(-8\) to \(-4d\):<br /> \[<br /> -8 \cdot (-4d) = 32d<br /> \]<br /><br />3. Distribute \(-8\) to \(3\):<br /> \[<br /> -8 \cdot 3 = -24<br /> \]<br /><br />Now, combine these results:<br />\[<br />-16d^2 + 32d - 24<br />\]<br /><br />So, the simplified form of the expression \(-8(2d^2 - 4d + 3)\) is:<br />\[<br />\boxed{-16d^2 + 32d - 24}<br />\]