Question

Which expression is equivalent to the following complex fraction?

Answer 1

Consider the fraction first ;

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

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

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

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

Hence, Option B) is required answer