Find the product Simplify your answer. t^2(4t^2-1) square

To find the product and simplify the expression \( t^2(4t^2 - 1) \), we need to distribute \( t^2 \) to each term inside the parentheses.<br /><br />\[<br />t^2(4t^2 - 1) = t^2 \cdot 4t^2 + t^2 \cdot (-1)<br />\]<br /><br />Now, let's perform the multiplication for each term:<br /><br />1. \( t^2 \cdot 4t^2 = 4t^4 \)<br />2. \( t^2 \cdot (-1) = -t^2 \)<br /><br />So, the expression simplifies to:<br /><br />\[<br />4t^4 - t^2<br />\]<br /><br />Thus, the simplified answer is:<br /><br />\[<br />\boxed{4t^4 - t^2}<br />\]