https://file.aiquickdraw.com/mathbot/file/17275949114683s2ws6h8.jpg

The extracted text from the image wasn't clear. However, based on what can be inferred from the image, it seems to show the following expression to simplify:

\[
\frac{\left( 2x^2 - y \right)^3}{8xy}
\]

Let me go ahead and simplify this expression step by step:

1. First, expand \(\left( 2x^2 - y \right)^3\).
2. Then divide the result by \(8xy\).

I'll start by simplifying this algebraically.The expression:

\[
\frac{\left( 2x^2 - y \right)^3}{8xy}
\]

is already in its simplified form. It cannot be simplified further without expanding the cubic term in the numerator.

Would you like me to expand the numerator, or do you have any other specific questions about this problem?

Here are 5 related questions for further practice:
1. How do you expand \((a - b)^3\) using the binomial theorem?
2. What happens when you expand \((2x^2 - y)^3\)?
3. Can you factor the cubic expression in a different way?
4. How do you handle division when multiple terms are involved in both the numerator and denominator?
5. What are the rules for simplifying algebraic fractions involving exponents?

**Tip:** Always double-check if an expression can be factored or expanded before performing division in complex fractions.

Learn how to simplify the expression (2x^2 - y)^3 divided by 8xy step-by-step. This problem involves expanding the polynomial using binomial expansion and simplifying the resulting fraction. Suitable for high school students in Grades 9-12.

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