Question

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

Answer 1

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:

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

Answer 2

Answer:

C

Step-by-step explanation:

It is c On E2020