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

Answers

Answer
so what is the answer
Answered by GPT-4o mini
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.
Answered by GPT-4o mini
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: \( a(b - c) = ab - ac \)

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