Let's simplify the expression \((-6h + 11)(1 - 4h)\):

### Step 1: Use the distributive property (also known as FOIL for binomials).
\[
(-6h + 11)(1 - 4h) = (-6h)(1) + (-6h)(-4h) + (11)(1) + (11)(-4h)
\]

### Step 2: Multiply each term.
\[
(-6h)(1) = -6h
\]
\[
(-6h)(-4h) = 24h^2
\]
\[
(11)(1) = 11
\]
\[
(11)(-4h) = -44h
\]

### Step 3: Combine all the terms.
\[
24h^2 - 6h - 44h + 11
\]

### Step 4: Simplify the like terms.
\[
24h^2 - 50h + 11
\]

So, the simplified form of \((-6h + 11)(1 - 4h)\) is:
\[
24h^2 - 50h + 11
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you factor quadratic expressions like \(24h^2 - 50h + 11\)?
2. What is the quadratic formula, and how do you apply it?
3. How do you solve equations using the distributive property?
4. What are like terms, and how do you combine them in algebra?
5. How do you graph quadratic equations?

**Tip**: When multiplying binomials, always apply the distributive property carefully to avoid missing terms!

Learn how to simplify the algebraic expression (-6h + 11)(1 - 4h) by applying the distributive property and combining like terms. This step-by-step guide demonstrates key algebra concepts and is ideal for students in Grades 8-10.

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