which expression is equivalent to 5y (8y-3)?

Answer 1

To simplify the expression \( 5y(8y - 3) \), you can use the distributive property, which states that \( a(b + c) = ab + ac \).

Applying the distributive property to \( 5y(8y - 3) \):

\[ 5y(8y) - 5y(3) \]

Calculating each term:

1. \( 5y \cdot 8y = 40y^2 \)
2. \( 5y \cdot 3 = 15y \)

Putting it all together, we get:

\[ 5y(8y - 3) = 40y^2 - 15y \]

Therefore, the expression equivalent to \( 5y(8y - 3) \) is \( 40y^2 - 15y \).