https://file.aiquickdraw.com/mathbot/file/17284332494295aa9pfmp.jpg

The given expression to factor is \( 8m^3 - 6m^2 \).

Here is the factorization process:

1. Identify the greatest common factor (GCF) of the two terms.
   - The GCF of \( 8m^3 \) and \( 6m^2 \) is \( 2m^2 \) (since both 8 and 6 are divisible by 2, and the lowest power of \( m \) common to both terms is \( m^2 \)).

2. Factor out \( 2m^2 \):
   \[
   8m^3 - 6m^2 = 2m^2(4m - 3)
   \]

The answer in the image shows the factorized form as \( 4m^2(4m - 3) \), but there seems to be a slight mistake in the boxed answer. The correct factorization is actually:

\[
2m^2(4m - 3)
\]

Would you like further details on any step, or do you have questions?

### 5 Related Questions:
1. What is the greatest common factor (GCF), and how is it used in factoring?
2. How do you factor expressions with higher powers, like \( m^3 \)?
3. Can you provide examples of factoring more complex polynomials?
4. What happens if you miss the GCF in factorization? How does it affect the answer?
5. How can you check if your factorization is correct?

### Tip:
Always double-check by multiplying the factored terms to ensure that you get back to the original expression!

Learn how to factor the polynomial expression 8m^3 - 6m^2 by identifying and factoring out the greatest common factor (GCF). This solution includes key concepts from factoring and polynomial 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