The expression you've provided is: 

\[
1 + 5(x + h) - 4x^2
\]

Let's simplify it:

1. Distribute the \(5\) to both \(x\) and \(h\):
\[
1 + 5x + 5h - 4x^2
\]

Now, the simplified expression is:

\[
5x + 5h - 4x^2 + 1
\]

Would you like more details or further explanation on any of the steps?

Here are 5 related questions:
1. How would you factor the expression \(5x + 5h - 4x^2 + 1\)?
2. Can you solve for \(x\) if \(5x + 5h - 4x^2 + 1 = 0\)?
3. What happens if \(h = 0\) in the expression?
4. How can you complete the square for the quadratic part \(-4x^2\)?
5. What is the derivative of \(5x + 5h - 4x^2 + 1\) with respect to \(x\)?

**Tip:** When simplifying expressions, always look for like terms and distribute coefficients carefully!

Explore how to simplify and understand the expression 1 + 5(x + h) - 4x^2 with detailed step-by-step guidance. This problem involves algebraic distribution and quadratic equations, making it suitable for Grades 7-9 students.

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