Pregunta
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The simplified expression is \( 7mn + 4mp - 12np \).
Solución
To simplify the expression:
\[ 4mn + 6mp - 3np - 9np + 3mn - 2mp \]
**Step 1: Combine like terms**
1. **Terms with \( mn \):**
\[
4mn + 3mn = 7mn
\]
2. **Terms with \( mp \):**
\[
6mp - 2mp = 4mp
\]
3. **Terms with \( np \):**
\[
-3np - 9np = -12np
\]
**Step 2: Write the simplified expression**
After combining the like terms, the simplified expression is:
\[
7mn + 4mp - 12np
\]
**Final Answer:**
\[ 7\, m n + 4\, m p\; -\;12\, n p \]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución The Deep Dive
Let's simplify the expression step-by-step: First, combine like terms. We have the terms involving \(mn\): - \(4mn + 3mn = 7mn\). Now, for the terms involving \(mp\): - \(6mp - 2mp = 4mp\). Lastly, for the terms involving \(np\): - \(-3np - 9np = -12np\). Putting it all together, we get: \[ 7mn + 4mp - 12np. \] So, the simplified expression is \( 7mn + 4mp - 12np \).
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