The given expression is:

\[
3x - 15a + 5ab - bx
\]

Let's rearrange and simplify it by grouping like terms:

1. The terms involving \( x \) are \( 3x \) and \( -bx \).
   \[
   (3 - b)x
   \]

2. The remaining terms are \( -15a \) and \( 5ab \), which are already simplified.

Now, we can rewrite the expression as:

\[
(3 - b)x - 15a + 5ab
\]

This is the simplified form of the expression.

### Would you like further clarification or additional steps?

Here are 5 related questions to extend this concept:
1. How would the expression change if \( b = 3 \)?
2. Can this expression be factored further if additional variables are introduced?
3. What happens if \( x \) is substituted with a numerical value?
4. How would this expression behave if \( a = b = 0 \)?
5. Can you find the derivative of this expression with respect to \( x \)?

#### Tip: Always group like terms to simplify an expression efficiently.

Discover how to simplify the algebraic expression 3x - 15a + 5ab - bx by grouping like terms and factoring. This step-by-step solution covers key algebraic concepts and is ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation