Question
Perform the operation. \[ \left(4 x^{2}-10 x\right)+\left(2 x^{2}+5 x-5\right) \]
Ask by Mejia Cervantes. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result is \(6x^{2}-5x-5\).
Solution
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The Deep Dive
To perform the operation, we will combine the like terms from both expressions. Starting with the initial expression: \[ \left(4 x^{2}-10 x\right) + \left(2 x^{2}+5 x-5\right) \] First, we will combine the \(x^2\) terms: \[ 4x^2 + 2x^2 = 6x^2 \] Next, the \(x\) terms: \[ -10x + 5x = -5x \] Lastly, the constant term is just \(-5\). Putting it all together, we have: \[ 6x^2 - 5x - 5 \] So, the result of the operation is: \[ 6x^2 - 5x - 5 \]
