Find the product.Simplify your answer. 9(y^2-3y+4) square

To find the product and simplify the expression \(9(y^2 - 3y + 4)\), we need to distribute the 9 to each term inside the parentheses.<br /><br />Here are the steps:<br /><br />1. Distribute 9 to \(y^2\):<br /> \[<br /> 9 \cdot y^2 = 9y^2<br /> \]<br /><br />2. Distribute 9 to \(-3y\):<br /> \[<br /> 9 \cdot (-3y) = -27y<br /> \]<br /><br />3. Distribute 9 to 4:<br /> \[<br /> 9 \cdot 4 = 36<br /> \]<br /><br />Now, combine these results:<br />\[<br />9(y^2 - 3y + 4) = 9y^2 - 27y + 36<br />\]<br /><br />So, the simplified answer is:<br />\[<br />\boxed{9y^2 - 27y + 36}<br />\]