Math Problem Statement

a(b + c) = ab + ac

Solution

The equation displayed in the image is:

a(b+c)=ab+aca(b + c) = ab + ac

This is an example of the distributive property. The distributive property states that when a number is multiplied by the sum of two other numbers, the result is the same as multiplying the number by each addend and then adding the products.

In this case, the term aa is distributed across the sum b+cb + c, which gives:

a(b+c)=ab+aca(b + c) = ab + ac

So, the correct answer is distributive.

Let me know if you want further clarification or if you have any additional questions!


Here are some related questions you might find interesting:

  1. What is the difference between the distributive and associative properties?
  2. Can you apply the distributive property with subtraction as well?
  3. How do you prove the distributive property using algebraic expressions?
  4. What is the commutative property and how is it different from the distributive property?
  5. How can the distributive property help simplify complex algebraic expressions?

Tip: Understanding the distributive property is key to solving many algebraic expressions, especially when dealing with expressions involving parentheses.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8