Question

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

Distributive property$4\left(A+B\right)$

Short answer

Using distributive property, expression can be rewritten as $4\left(A+B\right)=4A+4B$.

Step-by-step solution

Step 1. Definition of the distributive property.

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

Step 2. Concept of the property used.

Either is multiplied by$\left(A+B\right)$ or 4 is multiplied by A and B individually then add the result. In both cases, the same answer will be obtained.

Step 3. using the property.

Multiply with the terms written in the bracket.

$4\left(A+B\right)=4A+4B$