Question

In Exercises 11-18, State the property of real numbers being used.

$\left(x+a\right)\left(x+b\right)=\left(x+a\right)x+\left(x+a\right)b$

Short answer

Property of real number used here is distributive property.

Step-by-step solution

Step 1. Definition of the Distributive Property.

The distributive property is the property in which when the sum of a term is multiplied by the sum of another term gives the same result as if the first term is multiplied by each number of second terms and then adds the result.

Step 2. Finding the property used.

$\left(x+a\right)\left(x+b\right)=\left(x+a\right)x+\left(x+a\right)b$

Multiplying the results of $\left(x+a\right)$and $\left(x+b\right)$is equal to the result obtained by multiplying $\left(x+a\right)$to each term of $\left(x+b\right)$and then adding the result.

Step 3. Name of the property used.

Therefore, the property used here isdistributive.