Question

Simplify x^2-12x+20/x-10

@satellite73 @phi

Answer 1

x-2 x-10/ x-10= x-2

Answer 2

you have to factor the top

the +20 (3rd #) means write down pairs that multiply to give you 20
1,20
2,10
4,5

the + in +20 means that both numbers of the pair have the same sign... either both + or both -

-12 from -12x, the minus sign tells you the largest of the pair is negative, (since both have the same sign ... both are -

and they two combine to give you -12

now look at our pairs:
make them minus, and add up:

-1 + -20 = -21
-2 + -10 = -12
-4 + -5 = -9

the second pair give you the -12, so that is the pair to use as factors:

(x-2)(x-10)

Answer 3

so the problem is
(x-2)(x-10)/(x-10)

the (x-10)/(x-10) is 1 so you get (x-2)