How do you simplify and find the excluded value of (3x^2 - 3) /( 6x - 6 )?

May 24, 2016

excluded value is x = 1 for unsimplified expression
no excluded value for simplified expression
simplified: $\frac{x + 1}{2}$

Explanation:

factor numerator: $3 \left({x}^{2} - 1\right)$ = $3 \left(x - 1\right) \left(x + 1\right)$
factor denominator: $6 \left(x - 1\right)$
$\frac{3 \left(x - 1\right) \left(x + 1\right)}{6 \left(x - 1\right)}$ which simplifies to $\frac{x + 1}{2}$
to find excluded value set denominator = 0 and solve for variable to find excluded value. Since cannot divide by 0, any value of the variable that makes the denominator = 0 is excluded
$6 \left(x - 1\right) = 0$ $\to \left(x - 1\right) = 0 \to x = 1$