https://file.aiquickdraw.com/mathbot/file/1726180127620fhw146at.jpg

The expression in the image is:

\[ 2k^4 - 4k \]

To simplify or factor this, we can look for common factors between the terms.

Both terms contain a common factor of \( 2k \). Let's factor that out:

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

So the simplified, factored form is:

\[
2k(k^3 - 2)
\]

Would you like more details or have any further questions?

Here are 5 related questions you could explore:
1. How would you factor a similar expression like \( 3x^4 - 6x \)?
2. What happens if you set the expression \( 2k(k^3 - 2) = 0 \) and solve for \( k \)?
3. How would you apply the distributive property to expand \( 2k(k^3 - 2) \) back to its original form?
4. Can you solve the derivative of \( 2k(k^3 - 2) \) with respect to \( k \)?
5. How would the factoring change if the terms had a higher degree, like \( 2k^5 - 4k^2 \)?

**Tip**: Always check for the greatest common factor (GCF) before attempting other factoring methods. It simplifies the problem significantly!

Learn how to factor the polynomial expression 2k^4 - 4k using the greatest common factor method. This step-by-step solution breaks down the process of simplifying the expression to 2k(k^3 - 2), making it easy to understand for students in Grades 9-12.

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