What is the simplified form of 2 over x squared plus x minus 1 over x ?

Solution:

Given, 2 over x squared plus x minus 1 over x

It can be written as [2 / (x² + x)] - (1 / x)

Now simplify (x² + x)

We get, x(x + 1)

Now, [2 / x(x + 1)] - (1 / x)

LCM of denominator (x (x+1)) and x is given by (x (x+1))

On further simplification we get,

= [2 - (x + 1)]/x (x + 1)

We can write it as

= (2 - x -1) / (x + 1)

= [1-x]/[x (x+1)]

Therefore, the simplified form is  (1 - x) / x(x + 1).

What is the simplified form of 2 over x squared plus x minus 1 over x ?

Summary:

The simplified form of 2 over x squared plus x minus 1 over is x (1 - x) / x(x + 1).