Which expression is equivalent to (5a – 4b) + (-3a – 2b)?

Let's solve the expression step by step:

We are given:  
\[
(5a - 4b) + (-3a - 2b)
\]

### Step 1: Remove parentheses
You can remove the parentheses because they don't affect the signs:
\[
5a - 4b - 3a - 2b
\]

### Step 2: Combine like terms
- Combine the terms with \(a\): \(5a - 3a = 2a\)
- Combine the terms with \(b\): \(-4b - 2b = -6b\)

### Final result:
\[
2a - 6b
\]

Thus, the expression equivalent to \((5a - 4b) + (-3a - 2b)\) is:
\[
\boxed{2a - 6b}
\]

Would you like further details or have any questions about this solution?

Here are 5 related questions for practice:
1. What is \((7x + 3y) + (-2x - 5y)\)?
2. Simplify the expression: \((6m - 2n) + (-4m + 3n)\).
3. What happens when you add \((4x - 3)\) and \((-4x + 3)\)?
4. Combine like terms in the expression \((3p + 7q) + (5p - 9q)\).
5. How would you simplify \((8a - 6b) + (-5a + 4b)\)?

**Tip:** Always look for like terms (terms with the same variable and exponent) when simplifying algebraic expressions.

Explore how to simplify the algebraic expression (5a – 4b) + (-3a – 2b) by combining like terms. This step-by-step guide covers core algebra concepts and properties, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation