Simplify \(\frac{4}{2x} - \frac{2x + x}{x}\)
Question
Simplify \(\frac{4}{2x} - \frac{2x + x}{x}\)Options
A) -1
B) -2x
C) 2x
D) \(\frac{2 - x}{2x}\)
The correct answer is A.
Explanation:
\(\frac{4}{2x} - \frac{2 + x}{x} = \frac{4 - 2(2 + x)}{2x}\)
= \(\frac{4 - 4 - 2x}{2x} = \frac{-2x}{2x}\)
= 1
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\(\frac{4}{2x} - \frac{2 + x}{x} = \frac{4 - 2(2 + x)}{2x}\)
= \(\frac{4 - 4 - 2x}{2x} = \frac{-2x}{2x}\)
= 1