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

For this case we can do the following:

`(3)/(x-1)-4=(3-4x+4)/(x-1)`
`2-(2)/(x-1)=(2(x-1)-2)/(x-1)`

And if we simplify we got:

`(3-4x+4)/(2(x-1)-2)=(7-4x)/(2x-2-2)=(7-4x)/(2x-4)=(-4x+7)/(2(x-2))`

Final answer would be:

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