Question

add or subtract the rational expressions to a single rat
$\frac{1}{y - 1}-\frac{2}{y^{2}-1}=square$
note: separate your answers by comma, and use != to t
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Explanation:

Step1: Factor the denominator

Since $y^{2}-1=(y - 1)(y + 1)$.

Step2: Find a common - denominator

The common denominator of $\frac{1}{y - 1}$ and $\frac{2}{y^{2}-1}$ is $(y - 1)(y + 1)$. Rewrite $\frac{1}{y - 1}$ as $\frac{y + 1}{(y - 1)(y + 1)}$.

Step3: Subtract the rational expressions

$\frac{y + 1}{(y - 1)(y + 1)}-\frac{2}{(y - 1)(y + 1)}=\frac{y + 1-2}{(y - 1)(y + 1)}=\frac{y-1}{(y - 1)(y + 1)}$.

Step4: Simplify the result

Cancel out the common factor $(y - 1)$ (where $y
eq1$), we get $\frac{1}{y + 1},y
eq1$.

Answer:

$\frac{1}{y + 1},y
eq1$