# How do you simplify and find the excluded value of (x^2 – 3x + 2)/( 7x – 14) div(x^2 – 1)/(7x + 7)?

Aug 30, 2016

Your expression simplifies to $1$, with restrictions being $x \ne \pm 1 , 2$.

#### Explanation:

Factor everything:

$\implies \frac{\left(x - 2\right) \left(x - 1\right)}{7 \left(x - 2\right)} \times \frac{7 \left(x + 1\right)}{\left(x + 1\right) \left(x - 1\right)}$

Cancel using the property $\frac{a}{a} = 1 , a \ne 0$.

$\implies 1$

Now, state the restrictions on the variable. These will occur when the denominator equals $0$.

$x \ne - 1 , 1 , 2$

Hopefully this helps!