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The given expression is:

\[ 2x^2 + 3x - 9 + 5x^2 - 3 \]

To simplify this, combine like terms:

1. Combine the \(x^2\) terms: 
   \[
   2x^2 + 5x^2 = 7x^2
   \]
   
2. The \(x\) term remains as it is: 
   \[
   3x
   \]
   
3. Combine the constant terms: 
   \[
   -9 - 3 = -12
   \]

So, the simplified expression is:

\[ 7x^2 + 3x - 12 \]

Would you like more details or have any questions?

Here are some related questions to deepen your understanding:

1. What is the next step after simplifying an algebraic expression like this?
2. How do you factor the quadratic expression \(7x^2 + 3x - 12\)?
3. Can you solve the equation \(7x^2 + 3x - 12 = 0\)?
4. How do you determine if a quadratic expression can be factored?
5. What are some real-world applications of quadratic equations?

**Tip:** Always check for common factors in each term before simplifying an expression.

Simplify the expression 2x^2 + 3x - 9 + 5x^2 - 3.

Learn how to simplify the polynomial expression 2x^2 + 3x - 9 + 5x^2 - 3. This problem demonstrates key algebraic concepts such as combining like terms. Suitable for students in Grades 7-9.

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