If m = 3 and n = 2, calculate the value of 3m3 − 2n2 + 5m2n

We are given the expression:

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

with \( m = 3 \) and \( n = 2 \). Let's substitute the values of \( m \) and \( n \) into the expression and calculate:

1. \( 3m^3 = 3 \times (3)^3 = 3 \times 27 = 81 \)
2. \( -2n^2 = -2 \times (2)^2 = -2 \times 4 = -8 \)
3. \( 5m^2n = 5 \times (3)^2 \times 2 = 5 \times 9 \times 2 = 90 \)

Now, combine these results:

\[
81 - 8 + 90 = 163
\]

So, the value of the expression is:

\[
\boxed{163}
\]

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the value of \( 4m^3 - n^2 + 6m^2n \) if \( m = 2 \) and \( n = 1 \)?
2. Calculate \( 2m^2 + 3n^3 - m \) when \( m = 4 \) and \( n = 2 \).
3. What is the result of \( 5m^3 - 3n^2 + 4mn \) for \( m = 1 \) and \( n = 3 \)?
4. Find the value of \( 7m - 2n^3 + m^2n \) if \( m = 2 \) and \( n = 4 \).
5. Simplify the expression \( 3m^2 - 5mn + n^3 \) for \( m = 2 \) and \( n = 3 \).

**Tip:** When solving expressions, always follow the correct order of operations: parentheses, exponents, multiplication, division, addition, and subtraction (PEMDAS).

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

This step-by-step solution shows how to evaluate the expression 3m^3 − 2n^2 + 5m^2n when m = 3 and n = 2. The problem covers algebraic concepts, including exponents and polynomial expressions, suitable for students in Grades 8-10.

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