https://file.aiquickdraw.com/mathbot/file/172572175287809tazs8c.jpg

Let's solve the expression provided in the image:

\[
(4x^6 + 8x^3) - (7x^2 + 6x^3)
\]

First, distribute the negative sign to both terms in the second parenthesis:

\[
= 4x^6 + 8x^3 - 7x^2 - 6x^3
\]

Now, combine like terms. The like terms here are \(8x^3\) and \(-6x^3\):

\[
= 4x^6 + (8x^3 - 6x^3) - 7x^2
\]
\[
= 4x^6 + 2x^3 - 7x^2
\]

So, the expression simplifies to:

\[
4x^6 + 2x^3 - 7x^2
\]

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How do you identify like terms in a polynomial expression?
2. What happens when you distribute a negative sign across a binomial?
3. How can you verify your solution by substituting a value for \(x\)?
4. What are the steps for factoring a polynomial?
5. How can this expression be used in solving equations?

**Tip:** Always simplify terms with the same degree (like terms) in order to make polynomial expressions more manageable!

Identify expression that is equivalent to (4x^6 + 8x^3) - (7x^2 + 6x^3).

Learn how to simplify polynomial expressions like (4x^6 + 8x^3) - (7x^2 + 6x^3) by applying the distributive property and combining like terms. This problem covers key algebraic concepts such as polynomials and simplification, suitable for students in Grades 8-10.

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