Let's simplify the given expression:

\[
(6x^2 + 5x - 7) + (3x^2 - 5x)
\]

Step 1: Combine like terms.

- \(6x^2 + 3x^2 = 9x^2\)
- \(5x - 5x = 0x\) (which cancels out)
- The constant term \(-7\) remains as it is.

So the simplified expression is:

\[
9x^2 - 7
\]

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. How do you solve quadratic equations like \(9x^2 - 7 = 0\)?
2. How do you factor a quadratic expression?
3. What are like terms, and why can we combine them?
4. How do constants affect the graph of a quadratic equation?
5. Can you graph \(9x^2 - 7\) to understand its shape?

**Tip:** Always arrange terms in descending order of their degrees when simplifying.

Learn how to simplify the polynomial expression (6x²+5x-7)+(3x²-5x) with a detailed step-by-step solution. This problem involves key algebraic concepts such as combining like terms and polynomial simplification. Suitable for students in Grades 6-8.

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