Question
Simplify the following expression \[ 7 x^{2}+5 x-4-8 x^{2} \] (1)
Ask by Colon Schwartz. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
- x^{2} + 5x - 4
\]
Solution
To simplify the expression:
\[
7x^{2} + 5x - 4 - 8x^{2}
\]
**Step 1: Combine like terms.**
- **\(x^{2}\) terms:** \(7x^{2} - 8x^{2} = -x^{2}\)
- **\(x\) term:** \(5x\) (no other \(x\) terms to combine)
- **Constant term:** \(-4\) (no other constants to combine)
**Step 2: Write the simplified expression.**
\[
- x^{2} + 5x - 4
\]
**Final Answer:**
\[
-\,x^{2}\,+\,5x\,-\,4
\]
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Simplify this solution Bonus Knowledge
To simplify the expression \( 7 x^{2} + 5 x - 4 - 8 x^{2} \), we start by combining the like terms. First, combine the \( x^{2} \) terms: \( 7 x^{2} - 8 x^{2} = -1 x^{2} \) or simply \(-x^{2}\). Now the expression looks like this: \(-x^{2} + 5 x - 4\). So the simplified expression is: \[ -x^{2} + 5 x - 4. \]
