Solve x/(x ^ 2 - 1) - 1/(x ^ 2 - 1) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Evaluate

$\frac{1}{x+1}$

Short Solution Steps

Since $\frac{x}{x^{2}-1}$ and $\frac{1}{x^{2}-1}$ have the same denominator, subtract them by subtracting their numerators.

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

Factor the expressions that are not already factored in $\frac{x-1}{x^{2}-1}$.

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

Cancel out $x-1$ in both numerator and denominator.

$$\frac{1}{x+1}$$

Factor

$\frac{1}{x+1}$