Math Problem Statement

Write the expanded form of the expression 4(7x - 2).

Solution

To expand the expression 4(7x2)4(7x - 2), we need to apply the distributive property.

The distributive property states that: a(b+c)=ab+aca(b + c) = ab + ac

In this case, we multiply 4 by both terms inside the parentheses:

4(7x2)=4×7x4×24(7x - 2) = 4 \times 7x - 4 \times 2 =28x8= 28x - 8

So, the expanded form of the expression is: 28x828x - 8

Let me know if you'd like further details or clarification!

Here are 5 related questions:

  1. How do you apply the distributive property with negative terms?
  2. Can you expand 3(2x+5)3(2x + 5)?
  3. What happens when you distribute a negative number over a sum, like 2(x+3)-2(x + 3)?
  4. How can you combine like terms after expanding an expression?
  5. What is the difference between expanding and factoring an expression?

Tip: Always check for like terms after expanding to simplify the expression even further!

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

Grade 7