To expand the expression \(-4(-x - 8)\), distribute \(-4\) to each term inside the parentheses.

Here’s how you do it:

\[
-4(-x - 8)
\]

1. Distribute \(-4\) to \(-x\):

\[
-4 \times (-x) = 4x
\]

2. Distribute \(-4\) to \(-8\):

\[
-4 \times (-8) = 32
\]

Putting these together:

\[
-4(-x - 8) = 4x + 32
\]

So, the expanded expression is **\(4x + 32\)**.

Would you like further details or have any questions? Here are some related questions to consider:

1. What happens if you distribute a positive number instead of a negative one?
2. How can expanding expressions help solve equations?
3. What does distributing mean in the context of algebra?
4. Can you combine like terms after expanding an expression?
5. How would you factor the expression \(4x + 32\) back to its original form?

**Tip:** When expanding expressions, always pay attention to the signs (positive or negative) of the terms involved, as they significantly affect the outcome.

Learn how to expand the expression -4(-x - 8) using the distributive property in algebra. This problem involves distributing -4 to each term inside the parentheses and simplifying the result to 4x + 32. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation