https://r2.erweima.ai/mathbot/image/1726601761702pb9inmqr.jpg

The expression given in the image is:

\[
3x^2 + 6x
\]

To factor this, we first look for the greatest common factor (GCF) of the two terms, which is \( 3x \).

Now, factor out \( 3x \):

\[
3x(x + 2)
\]

Thus, the factored form of \( 3x^2 + 6x \) is:

\[
3x(x + 2)
\]

Would you like further details or clarifications?

Here are 5 related questions to explore further:

1. How do you factor expressions with higher exponents, such as \( x^3 + 3x^2 \)?
2. What is the process for factoring trinomials, like \( x^2 + 5x + 6 \)?
3. Can you factor polynomials with negative coefficients, such as \( 2x^2 - 4x \)?
4. What happens when there is no common factor, like in \( x^2 + 5x + 1 \)?
5. How do you apply factoring to solve quadratic equations?

**Tip:** Always start by identifying the greatest common factor (GCF) before factoring an expression!

Learn how to factor the algebraic expression 3x^2 + 6x by finding the greatest common factor (GCF). A step-by-step explanation is provided, covering core algebraic concepts suitable for students in Grades 7-9.

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