Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 3t^{2} - 5t + 9 \)
Solution
To simplify the expression \( 4 t^{2} + 3 t - t^{2} + 9 - 8 t \), follow these steps:
1. **Combine like terms:**
- **\( t^{2} \) terms:**
\[
4 t^{2} - t^{2} = 3 t^{2}
\]
- **\( t \) terms:**
\[
3 t - 8 t = -5 t
\]
- **Constant term:**
\[
9
\]
2. **Write the simplified expression:**
\[
3 t^{2} - 5 t + 9
\]
**Final Answer:**
\[
3 t^{2} - 5 t + 9
\]
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Simplify this solution The Deep Dive
To simplify the expression \( 4 t^{2} + 3 t - t^{2} + 9 - 8 t \), we start by combining like terms. First, let's group the \( t^{2} \) terms: \[ 4 t^{2} - t^{2} = 3 t^{2} \] Next, we combine the \( t \) terms: \[ 3 t - 8 t = -5 t \] Lastly, we include the constant term: \[ 9 \] Putting it all together, we have: \[ 3 t^{2} - 5 t + 9 \] Thus, the fully simplified expression is: \[ \boxed{3 t^{2} - 5 t + 9} \]
