Question

How to simplify this expression ?

Answer 1

`\large \boxed{\sf \ \ (1)/(x^2)+(1)/(x^2+x)=(2x+1)/(x^2(x+1)) \ \ }`

Explanation:

Hello,

This is the same method as computing for instance:

`(1)/(2)+(1)/(3)=(3+2)/(2*3)=(5)/(6)`

We need to find the same denominator.

Let's do it !

For any x real different from 0, we can write:

`(1)/(x^2)+(1)/(x^2+x)=(1)/(x^2)+(1)/(x(x+1))\\\\=(x+1+x)/(x^2(x+1))=(2x+1)/(x^2(x+1))`

Hope this helps.

Do not hesitate if you need further explanation.

Thank you