How do you simplify #\frac { v - 2} { v ^ { 2} - 4v + 4}#?

1 Answer

#1/(v-2)#

Explanation:

We can factor the denominator - let's see if that helps:

#(v-2)/(v^2-4v+4)#

#(v-2)/((v-2)^2)#

We can now cancel the numerator against one of the #(v-2)# terms in the denominator:

#cancel(v-2)/((v-2)^cancel2)#

#1/(v-2)#