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The question in the image asks for the coefficient in the expansion of a binomial expression.

Given the expression \( (x - 1)^2 \), let's expand it:

\[
(x - 1)^2 = x^2 - 2x + 1
\]

The expansion results in the terms \( x^2 \), \( -2x \), and \( 1 \). The coefficients of these terms are \( 1 \), \( -2 \), and \( 1 \), respectively.

Therefore, if the question is asking for the coefficient of the \( x^2 \) term, the answer is **1**.

If it's asking for the coefficient of the \( x \) term, the answer is **-2**.

Please clarify if you need the coefficient for a specific term, or let me know if you'd like further details or have any questions. 

Here are 8 related questions you might consider:

1. What is the binomial theorem and how is it used for expansion?
2. How can the binomial expansion be generalized for higher powers?
3. What are the coefficients in the expansion of \( (x + y)^n \)?
4. How do you determine the middle term in a binomial expansion?
5. How does the sign change in the expansion when the binomial includes subtraction?
6. What is Pascal's Triangle, and how does it relate to binomial coefficients?
7. How can you use the binomial expansion to approximate powers of a binomial?
8. What are the applications of binomial expansions in real-world scenarios?

**Tip:** Always double-check which term's coefficient the question is asking for, as different terms have different coefficients.

Learn how to find the coefficient of specific terms in the binomial expansion, illustrated with the example of (x - 1)^2. This problem involves applying the binomial theorem and understanding coefficients in expansions. Suitable for students in Grades 10-12.

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