Answer
$\frac{c - 2}{c - 5}$
Restriction: $c \ne 6, 5$
Work Step by Step
Factor all expressions in the original exercise:
$\frac{(c - 6)(c - 2)}{(c - 6)(c - 5)}$
Cancel common factors in the numerator and denominator:
$\frac{c - 2}{c - 5}$
Restrictions on $c$ occur when the value of $c$ makes the denominator equal $0$, which means that the denominator becomes undefined.
Set the factors in the denominators equal to $0$ to find restrictions:
First factor:
$c - 6 = 0$
Add $6$ to each side of the equation:
$c = 6$
Second factor:
$c - 5 = 0$
Add $5$ to each side of the equation:
$c = 5$
Restriction: $c \ne 6, 5$
