Question
Simplify the following expression. \[ 2 x^{2}-6 x+8-5 x-13 x^{2} \]
Ask by Garrett Blake. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(-11x^{2}-11x+8\).
Solution
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Beyond the Answer
To simplify the expression \( 2 x^{2}-6 x+8-5 x-13 x^{2} \), we first combine like terms: 1. Combine the \( x^{2} \) terms: \[ 2 x^{2} - 13 x^{2} = -11 x^{2} \] 2. Combine the \( x \) terms: \[ -6 x - 5 x = -11 x \] 3. The constant term is \( 8 \). Putting it all together, we have: \[ -11 x^{2} - 11 x + 8 \] Thus, the simplified expression is: \[ -11 x^{2} - 11 x + 8 \]
