Question

Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts's work?

X/x^2-1 -1/x-1

Answer 1

C

Explanation:

It is c On E2020

Answer 2

For this case we have the following expression:

`\frac {x} {x ^ 2-1} - \frac {1} {x-1}`

To simplify we have:

`(x ^ 2-1) = (x + 1) (x-1)`

Rewriting with the same denominator we have:

`\frac {x- (x + 1)} {x ^ 2-1} =\\\frac {x- (x + 1)} {(x + 1) (x-1)} =\\\frac {x-x-1)} {(x + 1) (x-1)} =\\\frac {-1)} {(x + 1) (x-1)} =\\- \frac {1} {(x + 1) (x-1)}`

Thus, the simplified expression is:

`- \frac {1} {(x + 1) (x-1)}`

Answer:

`- \frac {1} {(x + 1) (x-1)}`