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strojnjashka [21]
3 years ago
15

Which expression is equivalent to the following complex fraction?

Mathematics
2 answers:
miss Akunina [59]3 years ago
6 0

Answer:

above me is correct :)

Step-by-step explanation:

marta [7]3 years ago
5 0

Answer:

  \dfrac{-4x+7}{2(x-2)}

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

  \dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}

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