https://file.aiquickdraw.com/mathbot/file/17252591558609urrwfjd.jpg

The expression in the image is:

\[
\frac{5 \times 5}{3} - 40x^2
\]

To reduce this expression to its factors, follow these steps:

### Step 1: Simplify the Fraction
First, simplify the fraction \(\frac{5 \times 5}{3}\). The multiplication \(5 \times 5\) equals 25, so the expression becomes:

\[
\frac{25}{3} - 40x^2
\]

### Step 2: Factor the Polynomial Term
Next, consider the term \(-40x^2\). This term can be factored by taking out the common factor, which in this case is \(-40\):

\[
-40x^2 = -40(x^2)
\]

### Final Expression:
The final expression after simplifying and factoring becomes:

\[
\frac{25}{3} - 40(x^2)
\]

Since the two terms do not share any common factors and are not part of any special factoring identities (like the difference of squares), this is the reduced form.

### Recap:
1. Simplified \(5 \times 5\) to get 25, resulting in \(\frac{25}{3}\).
2. Factored \(-40x^2\) as \(-40(x^2)\).

If you need further clarification or have any questions, feel free to ask!

---

### Follow-up Questions:
1. How would you solve for \(x\) in the equation \(\frac{25}{3} - 40x^2 = 0\)?
2. Can this expression be simplified further if specific values for \(x\) are given?
3. How does the expression behave when \(x\) becomes very large or very small?
4. What would happen if the fraction had a different denominator?
5. How can this expression be applied to solve a real-world problem involving quadratic functions?

### Tip:
Always check if you can simplify each term first before moving to factorization. This makes the process easier and reduces the chance of mistakes.

Learn how to reduce the expression 25/3 - 40x^2 to its factors with detailed steps. This problem involves fraction simplification and polynomial factoring techniques. Suitable for advanced high school students.

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