It seems that your expression includes some missing parts or ambiguous symbols. Based on what I understand, the expression could potentially be something like:

\[
(5 \times x \times 4 - y \times 3)^2
\]

If this is correct, let's simplify it step by step.

1. First, simplify the terms inside the parentheses:
   \[
   (5 \times x \times 4 - y \times 3) = (20x - 3y)
   \]

2. Now, apply the square:
   \[
   (20x - 3y)^2
   \]

To expand this, we use the formula \((a - b)^2 = a^2 - 2ab + b^2\):

\[
(20x)^2 - 2(20x)(3y) + (3y)^2 = 400x^2 - 120xy + 9y^2
\]

So, the expanded form of the expression is:

\[
400x^2 - 120xy + 9y^2
\]

Let me know if you need more clarification or if the original expression was different!

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Here are five related questions to further explore this topic:

1. How would the expansion change if the expression was \( (5x - 3y)^2 \) instead?
2. What happens if we cube the expression \( (20x - 3y)^3 \)?
3. Can you apply this technique to factor the expression back?
4. What would be the result of the derivative of \( 400x^2 - 120xy + 9y^2 \) with respect to \( x \)?
5. How would this expansion change if there were additional terms like \( + z \) inside the parentheses?

**Tip:** When expanding binomials, always remember the standard formulas like \((a + b)^2\) or \((a - b)^2\) to avoid errors.

This detailed solution walks through the expansion of the algebraic expression (5x*4 - y*3)². Learn how to simplify the terms using binomial expansion and apply key algebraic formulas like (a - b)² = a² - 2ab + b². Ideal for students in Grades 9-11.

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