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The expression shown is \((5x - 3)^2\), which is a binomial squared. To expand this expression, we use the formula:

\[
(a - b)^2 = a^2 - 2ab + b^2
\]

For the given expression \((5x - 3)^2\), we treat \(a = 5x\) and \(b = 3\).

Now, expand the expression:

\[
(5x - 3)^2 = (5x)^2 - 2(5x)(3) + 3^2
\]

Calculating each term:

\[
(5x)^2 = 25x^2
\]
\[
-2(5x)(3) = -30x
\]
\[
3^2 = 9
\]

Thus, the expanded form is:

\[
25x^2 - 30x + 9
\]

Would you like further details or explanations on this? 

Here are some related questions to expand on this topic:

1. How do you factor expressions like \(25x^2 - 30x + 9\)?
2. What is the difference between expanding and factoring binomials?
3. How can we generalize the expansion of \((ax + b)^2\)?
4. How would this change if we had \((5x + 3)^2\) instead?
5. How does this expansion relate to completing the square?

**Tip:** Always double-check the signs when expanding binomials, especially when dealing with negative terms!

Learn how to expand the binomial expression (5x - 3)^2 using the binomial expansion formula. This solution demonstrates how to correctly apply the formula and simplify the expression to get 25x^2 - 30x + 9, suitable for students in Grades 9-11.

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