https://file.aiquickdraw.com/mathbot/file/17257687173755dn0uru9.jpg

The image presents the following mathematical expression:

Given \( m = 3 \) and \( n = 2 \), calculate the value of:

\[
3m^3 - 2n^2 + 5m^2n
\]

Let's proceed with the calculations step by step:

1. \( m = 3 \), so \( m^3 = 3^3 = 27 \).
2. \( n = 2 \), so \( n^2 = 2^2 = 4 \).
3. Now, substitute into the expression:

\[
3m^3 = 3 \times 27 = 81
\]
\[
2n^2 = 2 \times 4 = 8
\]
\[
5m^2n = 5 \times (3^2) \times 2 = 5 \times 9 \times 2 = 90
\]

Now combine all the terms:

\[
81 - 8 + 90 = 163
\]

Therefore, the value of the expression is \( 163 \), but none of the given multiple-choice options match. Let me recheck the image to ensure the expression matches correctly.It appears I may have misinterpreted the mathematical expression or the context. Allow me to verify the image details again and recheck the steps.

The given options in the image are:

- \(-1\)
- \(2\)
- \(1\)
- \(-2\)

Could you confirm if I correctly interpreted the mathematical expression? Based on this confirmation, I will reanalyze the steps or make any necessary adjustments to match the available options.

If m = 3 and n = 2, calculate the value of 3m^3 - 2n^2 + 5m^2n

Learn how to calculate the algebraic expression 3m^3 - 2n^2 + 5m^2n where m=3 and n=2. This example demonstrates substitution and basic exponent rules, suitable for students in Grades 7-9.

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