Let's solve the expression step by step.

Given: $-4(-2x^2 - x) - (x^2 - 2x + 9)$

Step 1: Distribute the $-4$ in the first part.

$-4(-2x^2 - x) = -4 \cdot (-2x^2) - 4 \cdot (-x) = 8x^2 + 4x$

Step 2: Distribute the negative sign $-$ in the second part.

$-(x^2 - 2x + 9) = -x^2 + 2x - 9$

Step 3: Combine the results.

Now, add everything together: $8x^2 + 4x - x^2 + 2x - 9$

Step 4: Simplify by combining like terms.

$(8x^2 - x^2) + (4x + 2x) - 9 = 7x^2 + 6x - 9$

Thus, the simplified expression is: $7x^2 + 6x - 9$

Final Answer (in Bengali):

$7x^2 + 6x - 9$ এই সমীকরণের সরলীকৃত মান হল $7x^2 + 6x - 9$।

Would you like more details, or do you have any other questions?

Here are 5 related questions:

1. How do you factor quadratic expressions like $7x^2 + 6x - 9$?
2. What are some methods to solve quadratic equations?
3. How does distributing a negative sign work in algebra?
4. How do you combine like terms in polynomials?
5. What is the significance of quadratic expressions in real-life problems?

Tip: Always remember to simplify the expression by distributing and combining like terms carefully.