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The expression given is \((y - 2)^2\), and we are asked to rewrite it without parentheses and simplify.

This is a binomial square, so we apply the formula for squaring a binomial:

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

In this case, \(a = y\) and \(b = 2\). Applying the formula:

\[
(y - 2)^2 = y^2 - 2(2)(y) + 2^2
\]
\[
= y^2 - 4y + 4
\]

So, the simplified expression is:

\[
y^2 - 4y + 4
\]

Would you like any further details or clarifications?

Here are some related questions:
1. How do you expand \((y + 3)^2\)?
2. What is the general formula for expanding \((a + b)^2\)?
3. How would you simplify \((y - 5)^2\)?
4. Can you apply the same technique to expand \((y - 1)^2\)?
5. What is the expanded form of \((x - 4)^2\)?

**Tip:** Always apply the binomial expansion formula when squaring terms like \((a - b)^2\) to avoid mistakes in simplification.

Rewrite without parentheses and simplify (y - 2)^2.

Learn how to simplify the expression (y - 2)^2 using the binomial expansion formula. This tutorial covers key algebraic concepts, including expanding binomials and simplifying quadratic expressions. Suitable for students in Grades 8-10.

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