Question

factor x squared minus 15 x plus 36 all over 5 x minus 60

Answer 1

first factor top
x^2-15x+36
what multipilies to 36 and adds to -15
-3 and -12
(x-3)(x-12)

bottom
5x-60
factor out 5
(5)(x-12)

now we have
$\frac{(x-3)(x-12)}{(5)(x-12)}=( \frac{x-3}{5} )( \frac{x-12}{x-12} ) = \frac{x-3}{5}$