Question

In Exercises 19-22, rewrite the expression using the given property of real numbers.

Distributive property$5x+5y$

Short answer

Using distributive property, expression can be rewritten as $5\left(x+y\right)=5x+5y$.

Step-by-step solution

Step 1. Definition of the distributive property.

The distributive property is the property in which when a number is multiplied by the sum of two number gives the same result as if the number is multiplied by each of the terms and then add the result.

Step 2. Concept of the property used.

Either is multiplied by$\left(x+y\right)$ or is multiplied by x and y individually then add the result. In both cases, the same answer will be obtained.

Step 3. using a property.

Take common from the given term.

$5x+5y=5\left(x+y\right)$