Simplify:

1/y^2-y-2+1/y^2+y

1. Gather your ys together and your 1/y^2 terms together:

1/y^2-y-2+1/y^2+y

= 0y+2/y^2-2

= 2/y^2-2

this is not the answer that i am getting i am getting 2y-2/y(y+1)(y-2)Can you show me what is wrong or all of the work?

That is all the work.

There's a -y and a +y; they cancel out.

There are two 1/y^2 terms; they add.

There's a -2.

That's it.

Unless there are brackets you've omitted in the question?

Hm. If the question was

1/(y^2-y-2)+1/(y^2+y)

then I would get the same answer you give, but that is very different from 1/y^2-y-2+1/y^2+y

To simplify this expression, we need to combine like terms. Let's break it down step by step:

1. Combine the like terms in the numerator: 1/y^2 and 1/y^2. Since they have the same denominator, we can add them together: (1/y^2) + (1/y^2) = 2/y^2.

2. Combine the like terms in the denominator: -y and y. Since they have the same coefficient but opposite signs, they cancel each other out: -y + y = 0.

3. Now, we can simplify the expression: 2/y^2 - 0 = 2/y^2.

So, the simplified expression is 2/y^2.