Question

Which expression is equivalent to the following complex fraction?

Answer 1

Consider the fraction first ;

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

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

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

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

Hence, Option B) is required answer