To simplify the expression \((x^2 + 3) - (10x - 9)\), follow these steps:

1. Distribute the negative sign across the second parenthesis:

\[
(x^2 + 3) - 10x + 9
\]

2. Combine like terms:

\[
x^2 - 10x + (3 + 9)
\]

3. Simplify the constants:

\[
x^2 - 10x + 12
\]

So, the simplified expression is:

\[
x^2 - 10x + 12
\]

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:
1. How do you factor the expression \(x^2 - 10x + 12\)?
2. What are the roots of the equation \(x^2 - 10x + 12 = 0\)?
3. How does completing the square work for \(x^2 - 10x + 12\)?
4. Can this quadratic expression be graphed? If so, what are its key features?
5. How do you solve a quadratic inequality involving the expression \(x^2 - 10x + 12\)?

**Tip:** When simplifying expressions, always distribute any negatives and combine like terms carefully to avoid mistakes.

Learn how to simplify the expression (x^2 + 3) - (10x - 9) step-by-step with a detailed solution. This problem covers key algebraic concepts such as simplifying expressions and combining like terms. Suitable for students in Grades 7-9.

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