Chapter 1.7, Problem 6P

Use the Distributive Property to simplify each expression.

$15(3y-5)$

To determine

To simplify: the expression $15\left(3y-5\right)$ by distributive property.

Answer to Problem 6P

The quotient of numbers is $45y-75$ .

Explanation of Solution

Given:

The expression is $15\left(3y-5\right)$ .

Calculation:

Distributive property is expressed as follows:

  $a\left(b+c\right)=ab+ac$

Apply the distributive property in given expression as follows:

  $\begin{array}{c}15\left(3y-5\right)=15\times 3y-15\times 5\\ =45y-75\end{array}$

Thus, the simplified expression is $45y-75$ .