9
m
2
−
8
m
+
m
2
+
m
+
3
9m
2
−8m+m
2
+m+3

To simplify the given expression:

\[ 9m^2 - 8m + m^2 + m + 3 \]

Let's combine the like terms:

1. Combine the \( m^2 \) terms:
   \[ 9m^2 + m^2 = 10m^2 \]

2. Combine the \( m \) terms:
   \[ -8m + m = -7m \]

3. The constant term remains the same:
   \[ 3 \]

So the simplified expression is:

\[ 10m^2 - 7m + 3 \]

Would you like more details on this process or have any other questions? Here are some related problems you might find useful:

1. Simplify \( 5x^2 + 3x - 2x^2 + 7x + 1 \).
2. Factor \( 10m^2 - 7m + 3 \).
3. Expand \( (3m + 1)(2m - 3) \).
4. Simplify \( 4m^2 + 5m - 9m + 2 \).
5. Combine like terms in \( 12x^2 - 4x + 3x^2 + x - 6 \).
6. Solve \( 10m^2 - 7m + 3 = 0 \) using the quadratic formula.
7. Find the derivative of \( 10m^2 - 7m + 3 \) with respect to \( m \).
8. Evaluate the expression \( 10m^2 - 7m + 3 \) when \( m = 2 \).

**Tip:** Always combine like terms first when simplifying an algebraic expression to make it easier to handle.

Learn how to simplify the algebraic expression 9m^2 - 8m + m^2 + m + 3 step-by-step. This problem involves combining like terms and is suitable for Grades 7-9 students learning algebraic simplification.

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