https://file.aiquickdraw.com/mathbot/file/1729622871973p4g16m7d.jpg

The given expression is:

\[
6y^3 + 6y^2
\]

### Step-by-Step Solution:

1. **Identify the common factors**:
   - Both terms have a common coefficient of **6**.
   - Both terms also share a factor of **\( y^2 \)**, as \( y^3 \) can be written as \( y^2 \times y \).

2. **Factor out the greatest common factor (GCF)**:
   The greatest common factor between the terms is \( 6y^2 \). Therefore, we can factor this out.

\[
6y^2(y + 1)
\]

Thus, the factored expression is:

\[
6y^2(y + 1)
\]

Would you like further explanation or details on this process? Here are some related questions to deepen your understanding:

1. What is the general process to find the greatest common factor in polynomials?
2. How does factoring simplify solving equations?
3. Can the greatest common factor include both coefficients and variables?
4. What happens if the GCF is just a constant?
5. How would you apply factoring in solving quadratic equations?

**Tip:** Always check for both numerical and variable factors when factoring polynomials to ensure you've found the greatest common factor.

Factor out the greatest common factor from 6y^3 + 6y^2

Learn how to factor the polynomial 6y^3 + 6y^2 by identifying the greatest common factor (GCF). This step-by-step solution explains how to factor polynomials using GCF, 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