To factor the expression \( ax + 5a - bx + 5b \), we can group the terms:

1. Combine like terms:  
   \( (ax - bx) + (5a + 5b) \)

2. Factor out common factors:  
   \( x(a - b) + 5(a + b) \)

Thus, the factored form is:
\[
x(a - b) + 5(a + b)
\]

Would you like more details or have any questions? Here are some related questions you might consider:

1. What are the values of \( a \) and \( b \) in a specific example?
2. How do you expand the factored form back into the original expression?
3. Can you show a different method of factoring this expression?
4. What are some real-world applications of such factored expressions?
5. How does factoring help in solving equations? 

Tip: Always look for common factors in polynomial expressions to simplify the factoring process.

Discover how to factor the expression ax + 5a - bx + 5b into its simplest form using grouping and common factors. This guide covers essential algebraic techniques 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