Question

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ (4+3 y) 5 $$

Short answer

The expression (4+3y)5 simplifies to: 20 + 15y.

Step-by-step solution

Apply the distributive property

To rewrite the expression without parentheses, multiply the term outside the parentheses (which is 5 in this case) with each term inside the parentheses separately. That means, apply distributive property as \(5 * 4\) and \(5 * 3y\).

Perform the multiplication

On multiplying, we get \(5 * 4 = 20\) and \(5 * 3y = 15y\).

Write the final expression

Combine the products to form the new expression: 20 + 15y