Question

Which expression is equivalent to the following complex fraction?3.4X-12x-2-X-12(x-2)O-4x+7-4x+72(x-2)-4x+72(x2-2)21x2 - 2)-4x+7

Answer 1

Solution

For this case we can do the following:

$\frac{3}{x-1}-4=\frac{3-4x+4}{x-1}$$2-\frac{2}{x-1}=\frac{2(x-1)-2}{x-1}$

And if we simplify we got:

$\frac{3-4x+4}{2(x-1)-2}=\frac{7-4x}{2x-2-2}=\frac{7-4x}{2x-4}=\frac{-4x+7}{2(x-2)}$

Final answer would be:

-4x+7 /( 2(x-2))