Find the product and simplify

y(4y + 12)

=4y^2+12y????

Correct

Thank you very much!!!

Yes, you are correct!

To find the product of y and (4y + 12), you can use the distributive property of multiplication over addition. This property states that when multiplying a number or expression by a sum, you can distribute the multiplication to each term within the parentheses.

So, we can distribute y to each term inside the parentheses:

y(4y + 12) = y * 4y + y * 12

Multiplying y by 4y gives us 4y², and multiplying y by 12 gives us 12y. So the expression becomes:

4y² + 12y

Therefore, the product of y(4y + 12) is 4y² + 12y.