Question
Simplify the following expression. \[ -2 x^{2}+5+3 x-14-4 x^{2} \]
Ask by Chadwick Davison. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(-6x^{2} + 3x - 9\).
Solution
\[
-2 x^{2}+5+3 x-14-4 x^{2}
\]
1. Combine the \( x^{2} \) terms:
\[
-2 x^{2} - 4 x^{2} = -6 x^{2}
\]
2. The \( x \) term remains:
\[
3 x
\]
3. Combine the constant terms:
\[
5 - 14 = -9
\]
The simplified expression is:
\[
-6 x^{2} + 3 x - 9
\]
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Mind Expander
To simplify the expression \(-2x^{2} + 5 + 3x - 14 - 4x^{2}\), we start by combining like terms. First, combine the \(x^2\) terms: \(-2x^2 - 4x^2 = -6x^2\). Next, combine the constant terms: \(5 - 14 = -9\). The \(x\) term remains as \(3x\). Putting it all together, the simplified expression is: \[ -6x^{2} + 3x - 9 \]