https://r2.erweima.ai/mathbot/image/1726808099662gjo4d9q3.jpg

The image contains two mathematical expressions. Let's break them down:

1. The first expression is:
\[
\frac{3}{4}m^3 - \frac{1}{2}m^2n + \frac{2}{5}mn^2 - \frac{1}{4}n^3
\]

2. The second expression is:
\[
m^2 \left( \frac{2}{3} + \frac{5}{2}n^2m^{-2} \left( 1 - \frac{4}{15}mn^{-1} \right) \right)
\]

Would you like me to simplify one or both of these expressions or explore a specific part? 

Here are 5 related questions that could help expand your understanding:

1. Would you like to factor or simplify the first expression further?
2. Should I expand or simplify the second expression?
3. Are you looking for a specific evaluation of these expressions for given values of \( m \) and \( n \)?
4. Do you need help understanding how to handle the powers of \( m \) and \( n \) in the second expression?
5. Would you like to differentiate either of the expressions with respect to \( m \) or \( n \)?

**Tip:** When simplifying expressions with variables raised to powers, be mindful of terms that can cancel out, especially when combined with coefficients or other powers.

Simplify or explore the following expressions: (3/4)m^3 - (1/2)m^2n + (2/5)mn^2 - (1/4)n^3 and m^2( (2/3) + (5/2)n^2m^(-2)(1 - (4/15)mn^(-1)) ).

This page provides a detailed exploration and simplification of two polynomial expressions involving powers of m and n. Learn how to simplify terms like (3/4)m^3 - (1/2)m^2n and distribute across complex expressions.

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