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polet [3.4K]
3 years ago
8

What is the simplified form of 2/x^2-x - 1/x?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0

Answer:  \bold{(C)\ \dfrac{3 - x}{x(x-1)}}

<u>Step-by-step explanation:</u>

   \dfrac{2}{x^2-x}-\dfrac{1}{x}

=\dfrac{2}{x(x-1)}+\dfrac{-1}{x}

=\dfrac{2}{x(x-1)}+\dfrac{-1}{x}\bigg(\dfrac{x-1}{x-1}\bigg)

=\dfrac{2}{x(x-1)}+\dfrac{-x+1}{x(x-1)}

=\dfrac{2-x+1}{x(x-1)}

=\dfrac{3-x}{x(x-1)}

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