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.