Question

the property stating that the blank of a factor times a given quantity containing a sum or difference is equal to the blank of the products of that factor times each addend
from within the quantity

Answer 1

so what is the answer

Answer 2

The property you're describing is known as the **distributive property**. It states that:

**a(b + c) = ab + ac** for addition, and

**a(b - c) = ab - ac** for subtraction.

In this context, the "blank" refers to the factor "a", and the "given quantity" refers to the expression inside the parentheses, which can be a sum or a difference. The distributive property allows you to multiply the factor by each term inside the parentheses, resulting in the sum or difference of the products.

Answer 3

The answer to your question is:

**Distributive Property**

This property states that multiplying a factor by a sum or difference is equal to the sum or difference of the products. For example:

- For addition: \( a(b + c) = ab + ac \)
- For subtraction: \( a(b - c) = ab - ac \)