The expression \(-(x+h)^2\) can be expanded using the binomial formula. Let's go through the steps:

1. Start by expanding the binomial \((x+h)^2\).
   
   \[
   (x+h)^2 = x^2 + 2xh + h^2
   \]

2. Now, apply the negative sign to the entire expanded expression:

   \[
   -(x+h)^2 = -(x^2 + 2xh + h^2)
   \]

3. Distribute the negative sign:

   \[
   -(x^2 + 2xh + h^2) = -x^2 - 2xh - h^2
   \]

So, the expanded form of the expression \(-(x+h)^2\) is:

\[
-x^2 - 2xh - h^2
\]

Would you like any additional details or have any questions?

Here are some related questions:

1. How do you expand \((x-h)^2\)?
2. What is the expansion of \((2x+3)^2\)?
3. How do you factor the expression \(x^2 + 2xh + h^2\)?
4. What is the difference between expanding and factoring an expression?
5. How do you expand \(-(2x+3h)^2\)?

**Tip:** When expanding a binomial square, always remember to square both terms and include the cross-product term.

Learn how to expand the expression -(x+h)^2 using the binomial theorem and step-by-step calculations. Understand the concept of binomial expansion in algebra. Suitable for high school students studying algebra and binomial expressions.

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