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vodomira [7]
2 years ago
6

Which expression is equivalent to the following complex fraction?

Mathematics
1 answer:
svlad2 [7]2 years ago
4 0

Consider the <em>fraction</em> first ;

{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}

{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}

{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}

{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}

<em>Hence, Option B) is </em><em>required</em><em> </em><em>answer</em>

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