# How do you simplify (3(y^2) - 3) / ((y^2) - 1) and what are the restrictions?

Jun 8, 2018

3

Restrictions

$y \ne \pm 1$

#### Explanation:

$\frac{3 \left({y}^{2}\right) - 3}{\left({y}^{2}\right) - 1}$

Factor the numerator using the distributive property:

$= \frac{3 \left(\left({y}^{2}\right) - 1\right)}{\left({y}^{2}\right) - 1}$

cancel common factors:

$= \frac{3 \left(\cancel{\left({y}^{2}\right) - 1}\right)}{\cancel{\left({y}^{2}\right) - 1}}$

$= 3$

Restrictions:

$\left({y}^{2}\right) - 1 \ne 0$

${y}^{2} \ne 1$

$y \ne \pm \sqrt{1}$

$y \ne \pm 1$