Answer
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Step 1:I'll solve this algebraic simplification problem step by step:
Step 2:: Identify the terms
- We have two terms: $$2x^{2}$$ and $$-x^{2}
Step 3:: Recognize like terms
- Both terms have $$x^{2}$$ as the variable component
- This means we can combine these terms by adding their coefficients
Step 4:: Add the coefficients
- $$= 1x^{2}
- = (2 - 1)x^{2}
Step 5:: Simplify
- $$1x^{2}$$ can be written simply as $$x^{2}
Final Answer
Key Insight: When simplifying algebraic expressions, combine like terms by adding their coefficients while keeping the variable component the same.
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