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

Respuesta :

For this case we have the following expression:

[tex]\frac {x} {x ^ 2-1} - \frac {1} {x-1}[/tex]

To simplify we have:

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

Rewriting with the same denominator we have:

[tex]\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)}[/tex]

Thus, the simplified expression is:

[tex]- \frac {1} {(x + 1) (x-1)}[/tex]

Answer:

[tex]- \frac {1} {(x + 1) (x-1)}[/tex]

Answer:

C

Step-by-step explanation:

It is c On E2020

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