Question
Simplify the following expression. \( -5 x^{2}+4+15 x^{2}-15-2 x \)
Ask by Mann Dawson. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(10x^{2}-11-2x\).
Solution
Calculate or simplify the expression \( -5x^2+4+15x^2-15-2x \).
Simplify the expression by following steps:
- step0: Solution:
\(-5x^{2}+4+15x^{2}-15-2x\)
- step1: Add the terms:
\(10x^{2}-11-2x\)
The simplified expression is \(10x^{2}-11-2x\).
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Simplify this solution Beyond the Answer
Let's combine like terms in the expression \( -5 x^{2}+4+15 x^{2}-15-2 x \). First, group the \( x^2 \) terms: \[ -5 x^{2} + 15 x^{2} = 10 x^{2} \] Next, combine the constant terms: \[ 4 - 15 = -11 \] Lastly, include the linear term: \[ -2 x \] Putting it all together, the simplified expression is: \[ 10 x^{2} - 2 x - 11 \]
