https://file.aiquickdraw.com/mathbot/file/17268326038366jir228f.jpg

The expression in the image is:

\[
(5x^6 + 2x^5 - 3) + (x^5 - 4x^6 + 10)
\]

Now, let's simplify and combine like terms.

### Step 1: Group the terms
- For \(x^6\) terms: \(5x^6 - 4x^6 = 1x^6\)
- For \(x^5\) terms: \(2x^5 + x^5 = 3x^5\)
- Constant terms: \(-3 + 10 = 7\)

### Step 2: Write the simplified expression
\[
x^6 + 3x^5 + 7
\]

This is the sum in standard form.

Do you have any questions or would you like more details?

Here are 5 related questions:
1. How do you add polynomials in general?
2. What is the standard form of a polynomial?
3. Can you explain how to combine like terms in a polynomial?
4. What happens if one of the exponents is negative or fractional?
5. How does this sum change if additional terms are included?

**Tip:** Always arrange polynomial terms in descending order of exponents when writing them in standard form.

Find the sum. Write the result in standard form: (5x^6 + 2x^5 - 3) + (x^5 - 4x^6 + 10)

Learn how to add polynomials like (5x^6 + 2x^5 - 3) and (x^5 - 4x^6 + 10), combine like terms, and write the result in standard form. This example simplifies to x^6 + 3x^5 + 7, covering important algebraic concepts suitable for Grades 8-10.

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