Question

What is the simplified form of 2 over x squared minus x minus 1 over x ? (2/x^2-x) - (1/x)

Answer 1

Answer:

3-x/x(x-1)

Step-by-step explanation:

Given

2/(x^2-x)-  1/x

To simplify, we can take x as common from the denominator of first term

=  2/(x(x-1))-  1/x

Taking LCM of denominators and then using the rules of addition and subtraction of numerators using denominator’s LCM

=  (2(1)-(x-1))/(x(x-1))

Solving the brackets

=(2-x+1)/(x(x-1))  

=  (-x+3)/(x(x-1))

The term can also be written as:

=  (3-x)/(x(x-1))

 (3-x)/(x(x-1)) is the correct answer ..