Question

PLEASE SIMPLIFY AND SHOW STEPS: ((2/X)-3)/(1-(1/(X-1))) THANK YOU!!!!!!!!!!!!!

Answer 1

first you need to make common denominators
so
(2/x)-3=2/x - 3x/x=-1/x
1-1/(x-1)=(x-1)/(x-1) -1/(x-1)=(x-2)/(x-1)

Now dividing is the same as multiplying by the reciprocal (so the 1/x)

So
(-1/x) / (x-2)/(x-1)=(-1/x) *(x-1)/(x-2)=(1-x)/(x^2-2x)

Answer 2

Might have done a minor mistake because the result is not the simple. But I guess you have the idea.

Answer 3

I see
(2/x)-3=2/x - 3x/x=(2-3x)/x

So it will be
((2-3x)/x)/((x-2)/(x-1))=((2-3x)/x)*((x-1)/(x-2))
=((2-3x)(x-1))/(x*(x-2)=(2x-2-3x^2+3x)/((x^2-2x)
=(-3x^2+5x-2)/(x^2-2x)