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The problem asks to simplify the expression \(-4c^2b^2 - 10cb^2 + 12cb^2 - 11c^2b^2\) by combining like terms.

### Step 1: Group like terms
We have two types of terms:
- Terms involving \(c^2b^2\): \(-4c^2b^2\) and \(-11c^2b^2\).
- Terms involving \(cb^2\): \(-10cb^2\) and \(12cb^2\).

### Step 2: Combine like terms
1. Combine the \(c^2b^2\) terms:
   \[
   -4c^2b^2 - 11c^2b^2 = (-4 - 11)c^2b^2 = -15c^2b^2
   \]
2. Combine the \(cb^2\) terms:
   \[
   -10cb^2 + 12cb^2 = (-10 + 12)cb^2 = 2cb^2
   \]

### Final Simplified Expression:
\[
-15c^2b^2 + 2cb^2
\]

The correct option from the choices is:
\[
\boxed{-15b^2c^2 + 2b^2c}
\]

Would you like more details on any of the steps?

Here are five related questions for practice:
1. How do you factor the expression \(4x^2 - 12x + 8\)?
2. Can you simplify \(5xy - 2xy + 4x\)?
3. How do you find the greatest common factor (GCF) of \(9x^2y - 15xy\)?
4. How do you combine \(7x^2y + 5xy^2\)?
5. What is the expanded form of \((x + 2)(x - 3)\)?

**Tip**: Always group like terms before simplifying algebraic expressions to avoid mistakes.

Simplify -4c^2b^2 - 10cb^2 + 12cb^2 - 11c^2b^2 by combining like terms.

Learn how to simplify the polynomial expression -4c^2b^2 - 10cb^2 + 12cb^2 - 11c^2b^2 by combining like terms. This problem focuses on identifying like terms and simplifying expressions. Suitable for students in Grades 7-9.

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