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The question asks for the result of \((5y - 2)^2\). Let's solve this step by step.

We are given the expression \((5y - 2)^2\), which is a binomial squared. We will expand it using the binomial expansion formula:
\[
(a - b)^2 = a^2 - 2ab + b^2
\]
In this case, \(a = 5y\) and \(b = 2\).

1. First, square the first term:
   \[
   (5y)^2 = 25y^2
   \]

2. Next, multiply the two terms and double it:
   \[
   2 \times (5y) \times 2 = 20y
   \]

3. Finally, square the second term:
   \[
   2^2 = 4
   \]

Now, putting everything together:
\[
(5y - 2)^2 = 25y^2 - 20y + 4
\]

The correct answer is **d. \(25y^2 - 20y + 4\)**.

Would you like more details or explanations? Here are some related questions you might find useful:

1. How do you expand other binomial expressions, like \((a + b)^2\)?
2. What is the general formula for expanding \((a - b)^2\)?
3. Can this method be used for higher exponents, such as \((a - b)^3\)?
4. How do you apply the FOIL method for binomial expansion?
5. What are the differences between squaring a binomial and expanding a trinomial?

**Tip:** Always remember that squaring a binomial means applying the formula \((a - b)^2 = a^2 - 2ab + b^2\).

Which expression is the result of (5y - 2)^2?

Learn how to expand and simplify the binomial expression (5y - 2)^2 step-by-step. This problem uses the binomial expansion formula to yield the result 25y^2 - 20y + 4. Suitable for students in Grades 8-10.

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