To solve the expression \((8x^2 + 10) - (6x - 2)\), follow these steps:

1. Distribute the negative sign across the second group:
   \[
   8x^2 + 10 - 6x + 2
   \]

2. Combine like terms:
   - There is no other \(x^2\) term, so \(8x^2\) remains as it is.
   - The linear term is \(-6x\).
   - The constants are \(10\) and \(2\), which combine to \(12\).

Thus, the simplified expression is:
\[
8x^2 - 6x + 12
\]

Would you like more details on any step or have any further questions?

Here are 5 related questions:
1. How would you solve the expression if it was \((8x^2 + 10) + (6x - 2)\)?
2. How do you factor the expression \(8x^2 - 6x + 12\)?
3. What is the result if you substitute \(x = 1\) into the expression \(8x^2 - 6x + 12\)?
4. How do you solve the equation \(8x^2 - 6x + 12 = 0\)?
5. Can you explain the difference between combining like terms and factoring?

**Tip:** Always pay attention to the signs when distributing across an expression, as it can change the entire outcome of the problem.

Learn how to simplify the expression (8x^2 + 10) - (6x - 2) step-by-step. This problem involves algebraic manipulation, including distributing terms and combining like terms. Suitable for Grades 7-9 students and those studying algebra.

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