Question
Simplify the algebraic expression by combining like (or similar) terms. \[ 8+x^{2}-6 x^{2}+2 \]
Ask by Graham May. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(10 - 5x^{2}\).
Solution
Calculate or simplify the expression \( 8+x^{2}-6x^{2}+2 \).
Simplify the expression by following steps:
- step0: Solution:
\(8+x^{2}-6x^{2}+2\)
- step1: Add the numbers:
\(10-5x^{2}\)
The simplified algebraic expression by combining like terms is \(10-5x^{2}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
Let's break this expression down! First, you have \(8\) and \(2\) as constants, which combine nicely to give you \(10\). Then look at the \(x^2\) terms: you've got \(x^2\) and \(-6x^2\), which combine to give \(-5x^2\). Putting it all together, the simplified expression is: \[ 10 - 5x^{2} \] So, there you have it! The original expression simplifies to \(10 - 5x^{2}\).
