https://file.aiquickdraw.com/mathbot/file/1727249613849mg5ptgw8.jpg

The image contains the expression \((6a + 5)(5a - 6)\). Let's expand and simplify it.

### Step-by-step solution:

We use the distributive property (also known as FOIL for binomials) to expand the product:

\[
(6a + 5)(5a - 6)
\]

Multiply each term in the first binomial by each term in the second binomial:

1. \(6a \times 5a = 30a^2\)
2. \(6a \times -6 = -36a\)
3. \(5 \times 5a = 25a\)
4. \(5 \times -6 = -30\)

Now, combine the results:

\[
30a^2 - 36a + 25a - 30
\]

Combine the like terms \(-36a + 25a\):

\[
30a^2 - 11a - 30
\]

### Final answer:

\[
30a^2 - 11a - 30
\]

Let me know if you'd like further details or have any questions!

Here are 5 related questions:
1. How do you expand the product of two binomials using the distributive property?
2. What is the FOIL method in algebra and when is it used?
3. Can you apply the same method to expand \((7x + 4)(3x - 2)\)?
4. How do you factor an expression like \(30a^2 - 11a - 30\)?
5. What are some strategies for simplifying expressions involving binomials?

**Tip:** Always look for like terms when simplifying, as they can help reduce the complexity of your final expression.

Expand the expression (6a + 5)(5a - 6) and combine like terms. Simplify your answer as much as possible.

Learn how to expand and simplify the binomial expression (6a + 5)(5a - 6) using the distributive property (FOIL method). This problem covers essential algebraic concepts and is suitable for students in Grades 8-10.

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