The given expression is:

\[
12a^4 - 8a^2
\]

### Step 1: Factor out the greatest common factor (GCF)
Both terms share a common factor of \(4a^2\), so we can factor that out:

\[
= 4a^2(3a^2 - 2)
\]

Thus, the factored form of \(12a^4 - 8a^2\) is:

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

Would you like further details or have any questions about this process?

### Related questions:
1. How do you identify the greatest common factor in polynomial expressions?
2. How can you factor quadratic expressions further if possible?
3. What are some strategies for factoring higher degree polynomials?
4. How do you verify that the factorization is correct?
5. Can this expression be factored further, and if so, how?

**Tip:** Always check for a common factor before attempting more complex factoring methods.

Explore the step-by-step process of factoring the polynomial expression 12a⁴ - 8a² by factoring out the greatest common factor (GCF). This solution uses fundamental algebraic concepts like GCF and the distributive property. Ideal for students in Grades 9-10.

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