To subtract the expression \((4b^2 - 8b + 11)\) from \((-2b^2 - 4b + 5)\), follow these steps:

### Step 1: Distribute the negative sign to the second expression
\[
(4b^2 - 8b + 11) - (-2b^2 - 4b + 5)
= (4b^2 - 8b + 11) + (2b^2 + 4b - 5)
\]

### Step 2: Combine like terms
- Combine the \(b^2\) terms: \(4b^2 + 2b^2 = 6b^2\)
- Combine the \(b\) terms: \(-8b + 4b = -4b\)
- Combine the constant terms: \(11 - 5 = 6\)

### Final result:
\[
6b^2 - 4b + 6
\]

Would you like more details or have any questions?

Here are 5 related questions for you to explore:
1. How would you factor the expression \(6b^2 - 4b + 6\)?
2. What happens if you subtract two polynomials with different degrees?
3. How do you simplify expressions with multiple variables?
4. How can you check if two expressions are equivalent?
5. What is the process for expanding and simplifying a product of binomials?

**Tip:** Always distribute negative signs carefully when subtracting polynomials to avoid errors.

subtract: (4b^2 - 8b + 11) - (-2b^2 - 4b + 5)

Master the subtraction of polynomials with this example: (4b^2 - 8b + 11) - (-2b^2 - 4b + 5). Learn how to apply the distributive property and combine like terms, including terms with b^2, b, and constants. Suitable for students in Grades 8-10.

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