https://file.aiquickdraw.com/mathbot/file/1725485507416hgx8lanw.jpg

The expression in the image is:

\[
(2x + 3)(x + 3x)
\]

Let's simplify and solve this expression:

1. First, simplify the expression inside the second parentheses: \(x + 3x\).
   \[
   x + 3x = 4x
   \]
   So, the expression now becomes:
   \[
   (2x + 3)(4x)
   \]

2. Now, distribute \(4x\) across the terms in \(2x + 3\):
   \[
   (2x + 3)(4x) = 2x \cdot 4x + 3 \cdot 4x
   \]

3. Calculate each term:
   \[
   2x \cdot 4x = 8x^2
   \]
   \[
   3 \cdot 4x = 12x
   \]

4. Combine the results:
   \[
   8x^2 + 12x
   \]

So, the simplified expression is:

\[
8x^2 + 12x
\]

Would you like more details or have any questions? 

Here are some related questions you might consider:
1. How would you solve \(8x^2 + 12x = 0\)?
2. What happens if you factor out the common terms in the expression \(8x^2 + 12x\)?
3. How would this change if the original expression had a different constant term in either factor?
4. What would the graph of \(y = 8x^2 + 12x\) look like?
5. How can you use the quadratic formula to solve \(8x^2 + 12x = c\) for some constant \(c\)?

**Tip:** Always check for like terms when simplifying expressions, as they can often be combined to simplify your calculations.

Learn how to simplify and solve the polynomial expression (2x + 3)(x + 3x). This problem covers key algebraic concepts such as the distributive property and combining like terms, suitable for students in Grades 7-9.

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