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

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