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

We are going to use the concept of factorization of quadratic equations in order to get the solution.

### Answer: one minus x over x^{2}+x or (1-x)/(x^{2}+x) is the simplified form of 2 over x squared plus x minus 1 over x.

let's get the solution step by step.

**Explanation**:

Given:

2 over x squared plus x minus 1 over x.

it can be written as,

[(2)/(x^{2}+x)]-[1/x]

let's simplify it further,

Factoring (x^{2}+x),

⇒ (x^{2}+x) = x(x+1)

Hence,

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

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

(x (x+1))

So,

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

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

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

or

(1-x)/(x^{2}+x)