Let's factor the expression step by step.

Given expression:
\[
4x + 6y + 2 + 4x + 6y + 2
\]

1. **Combine like terms:**
   \[
   4x + 4x + 6y + 6y + 2 + 2
   \]
   \[
   = 8x + 12y + 4
   \]

2. **Factor out the greatest common factor (GCF):**

   The GCF of \(8x\), \(12y\), and \(4\) is \(4\).

   So, factor out \(4\) from the expression:
   \[
   8x + 12y + 4 = 4(2x + 3y + 1)
   \]

Thus, the factored form of the expression is:

\[
\boxed{4(2x + 3y + 1)}
\]

Would you like to explore more about factoring, or do you have any questions?

Here are 5 related questions to expand on this topic:
1. How do you find the greatest common factor (GCF) in polynomials?
2. What steps are involved in factoring quadratic expressions?
3. How can you apply factoring to solve equations?
4. What is the difference between factoring and expanding expressions?
5. How can you factor polynomials with more complex terms?

**Tip:** When factoring expressions, always start by identifying the greatest common factor before attempting more complex factoring techniques.

Learn how to factor the expression 4x + 6y + 2 + 4x + 6y + 2 step-by-step with a detailed solution. This problem covers key algebraic concepts, including combining like terms and factoring. 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