https://file.aiquickdraw.com/mathbot/file/1725590163343bh7w5zg3.jpg

It seems the text extraction was unclear. However, based on the visible part of the image, it looks like an expression \( 9y(6x - 7y - 3(x - y)) \).

Let's simplify this expression step by step:

1. Start by distributing the \( 9y \) over the terms inside the parentheses:
   \[
   9y(6x - 7y - 3(x - y))
   \]

2. First, distribute the \( 3 \) over \( (x - y) \):
   \[
   = 9y(6x - 7y - 3x + 3y)
   \]

3. Combine like terms inside the parentheses:
   \[
   = 9y(6x - 3x - 7y + 3y) = 9y(3x - 4y)
   \]

4. Now, distribute the \( 9y \):
   \[
   = 9y \cdot 3x - 9y \cdot 4y = 27xy - 36y^2
   \]

The simplified expression is:
\[
27xy - 36y^2
\]

Let me know if you'd like any further explanation or details on this. Here are some related questions:

1. How do you handle more complex polynomial expansions?
2. What are the steps for factoring the resulting expression \( 27xy - 36y^2 \)?
3. Can you solve for \( y \) if the expression is set equal to zero?
4. How would you approach this if the constants were variables instead?
5. What does this expression represent geometrically?

**Tip:** When simplifying expressions, always look for common factors to reduce complexity early on.

Simplify the expression 9y(6x - 7y - 3(x - y))

This page explains how to simplify the polynomial expression 9y(6x - 7y - 3(x - y)) step by step. The solution uses key algebraic concepts such as the distributive property and polynomial simplification. Suitable for students in Grades 8-10.

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