Let's evaluate the expression step by step:

Expression:  
\[
(-4)^2(10) - 4(10)^2 + (-4)(10)
\]

### Step 1: Square the values
- \((-4)^2 = 16\)
- \((10)^2 = 100\)

So the expression becomes:
\[
16(10) - 4(100) + (-4)(10)
\]

### Step 2: Multiply the constants
- \(16(10) = 160\)
- \(4(100) = 400\)
- \((-4)(10) = -40\)

Now the expression is:
\[
160 - 400 - 40
\]

### Step 3: Perform the addition/subtraction
- \(160 - 400 = -240\)
- \(-240 - 40 = -280\)

Thus, the final result is:
\[
\boxed{-280}
\]

Would you like more details or have any questions about the process?

Here are 5 questions to expand the concept:
1. How do you handle negative exponents?
2. Can you simplify expressions with multiple variables similarly?
3. What are the rules for multiplying negative numbers?
4. How does order of operations (PEMDAS) apply in algebraic expressions?
5. Can you explain how to factor expressions involving squares?

**Tip:** Always remember to apply the correct signs when squaring negative numbers!

Explore how to solve the algebraic expression (−4)^2(10) − 4(10)^2 + (−4)(10) step by step. Learn about exponentiation, multiplying negative numbers, and applying the order of operations (PEMDAS). Suitable for students in Grades 7-9.

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