The expression \((X - 5)^2\) can be expanded using the formula for the square of a binomial, \((a - b)^2 = a^2 - 2ab + b^2\).

So:

\[
(X - 5)^2 = X^2 - 2(5)(X) + 5^2
\]
\[
= X^2 - 10X + 25
\]

Thus, \((X - 5)^2 = X^2 - 10X + 25\).

Would you like more details or have any questions?

Here are some related questions to explore:
1. What is \((X + 7)^2\) expanded?
2. How does the square of a binomial relate to the distributive property?
3. What happens if you have \((2X - 3)^2\)?
4. How do you expand \((X - a)^2\) for any constant \(a\)?
5. What is the geometric interpretation of \((X - 5)^2\)?

**Tip:** When squaring a binomial, remember to apply the distributive property or the binomial square formula.

Learn how to expand the binomial expression (X-5)² using the formula for the square of a binomial. This step-by-step solution explains how to apply algebraic principles to simplify the expression to X² - 10X + 25. Suitable for students in Grades 7-9.

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