https://file.aiquickdraw.com/mathbot/file/17263255439065lh27q2a.jpg

The expression to be factorized is \( 15a^2 - 5ab \).

To factor this completely, we can follow these steps:

1. **Identify the greatest common factor (GCF)**:
   The GCF of \( 15a^2 \) and \( 5ab \) is \( 5a \), since both terms contain the factor \( 5 \) and \( a \).

2. **Factor out the GCF**:
   When we factor \( 5a \) out of each term, we get:
   \[
   15a^2 - 5ab = 5a(3a - b)
   \]

Thus, the completely factorized form of \( 15a^2 - 5ab \) is:
\[
5a(3a - b)
\]

Would you like more details on any part of this process?

Here are 5 related questions to explore further:

1. How do you identify the greatest common factor in polynomials?
2. What if a term had been missing an \( a \), how would that change the factorization?
3. Can you factor higher-degree polynomials similarly?
4. How do you verify if your factorization is correct?
5. What happens if the expression cannot be factorized?

**Tip:** Always start by factoring out the greatest common factor before attempting other methods like grouping or special factorizations.

Learn how to factorise the expression 15a^2 - 5ab by identifying and factoring out the greatest common factor (GCF). This step-by-step solution demonstrates key algebraic concepts suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation