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!