To simplify the expression \((3x^2 - 10x - 2) - (6x + 3)\), follow these steps:

1. **Distribute the negative sign** across the second parentheses:
   \[
   3x^2 - 10x - 2 - 6x - 3
   \]

2. **Combine like terms**:
   - The \(x\) terms: \(-10x - 6x = -16x\)
   - The constant terms: \(-2 - 3 = -5\)

3. **Write the simplified expression**:
   \[
   3x^2 - 16x - 5
   \]

Thus, the simplified expression is:
\[
3x^2 - 16x - 5
\]

Would you like more details or have any questions? Here are some related questions you might consider:

1. How do you factor the quadratic expression \(3x^2 - 16x - 5\)?
2. What is the vertex form of this quadratic function?
3. Can you find the roots of the equation \(3x^2 - 16x - 5 = 0\)?
4. How would you graph the quadratic \(3x^2 - 16x - 5\)?
5. What is the significance of the coefficients in this quadratic equation?

**Tip:** When simplifying polynomials, always combine like terms to make the process easier!

Learn how to simplify the expression (3x^2 - 10x - 2) - (6x + 3) step-by-step. This guide covers key algebraic concepts, including the distributive property and combining like terms, suitable for students in Grades 7-9.

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