The expression you've provided is:

\[
ab + bc - xc
\]

This expression can be factored. Here's how:

1. **Group the terms involving common factors**:
   \[
   ab + (bc - xc)
   \]
   Notice that both \(bc\) and \(-xc\) have a common factor of \(c\).

2. **Factor out the common factor \(c\) from the second group**:
   \[
   ab + c(b - x)
   \]
   
So, the factored form of the expression is:
\[
ab + c(b - x)
\]

Would you like more details or have any questions?

### Related Questions:
1. How would you factor \(2ab + 4bc - 2xc\)?
2. What happens if \(b = x\) in the original expression?
3. How do you factor expressions involving more variables, like \(ab + ac + ad\)?
4. How does factoring work in quadratic expressions?
5. What are the applications of factoring in solving equations?

**Tip:** When factoring expressions, always look for common factors first to simplify your calculations.

Learn how to factor the algebraic expression ab + bc - xc using the grouping method. This step-by-step guide walks through how to identify common factors and simplify expressions using basic algebra. Suitable 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