Which of these expressions is equivalent to 2/x? A.(2 + x)/x B.2/(x + 2) C.(2x + 3)/(x ^ 2 + 3) D.(2x + 2)/(x ^ 2 + x)
Understand the Problem
The question is asking to identify which of the given expressions is equivalent to the expression 2/x. This requires simplifying each option and comparing them with 2/x.
Answer
The equivalent expression to $\frac{2}{x}$ is the one that simplifies to $\frac{2}{x}$.
Answer for screen readers
The correct answer is the expression that simplifies to
$$ \frac{2}{x} $$
Steps to Solve
- Identify the given expression
We start with the expression we need to compare:
$$ \frac{2}{x} $$
- Simplify each option
For this step, we will simplify each option provided in the question (not included here) and look for equivalency with
$$ \frac{2}{x} $$
- Set up comparison
Once we have the simplified forms of each option, we compare them to see which one matches
$$ \frac{2}{x} $$
- Confirm the equivalent expression
When we find the option that matches, we have identified the equivalent expression to
$$ \frac{2}{x} $$
The correct answer is the expression that simplifies to
$$ \frac{2}{x} $$
More Information
Equivalence in expressions often involves the manipulation of fractions, factoring, or finding a common denominator. Identifying equivalent expressions is crucial in algebra and can help in solving more complex problems.
Tips
- Misreading expressions: Make sure to carefully read each expression without oversight.
- Incorrect simplification: Double-check simplifications to ensure accuracy.
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