To simplify the given expression \((2x^2 - x - 1) - (6x + 4)\), follow these steps:

1. Distribute the negative sign to the terms inside the second set of parentheses:
   \[
   = 2x^2 - x - 1 - 6x - 4
   \]
   
2. Combine like terms:
   - \(2x^2\) has no like terms, so it stays as \(2x^2\).
   - Combine the \(x\)-terms: \(-x - 6x = -7x\).
   - Combine the constants: \(-1 - 4 = -5\).

Thus, the simplified expression is:
\[
2x^2 - 7x - 5
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you factor quadratic expressions like \(2x^2 - 7x - 5\)?
2. What are the common steps to solve a quadratic equation?
3. How do you use the quadratic formula for equations like \(2x^2 - 7x - 5 = 0\)?
4. What is the difference between combining like terms and distributing?
5. How do you solve systems of equations that involve quadratic expressions?

**Tip:** Always check your work for combining like terms and distributing to avoid sign errors.

Learn how to simplify the polynomial expression (2x² - x - 1) - (6x + 4) with a detailed step-by-step breakdown. This problem covers key algebraic concepts such as the distributive property and combining like terms, suitable for students in Grades 8-10.

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