# How do you simplify #(2/a)/(1/(a+6))#?

##### 1 Answer

Feb 27, 2017

#### Answer:

with exclusion

#### Explanation:

Note that division is the same as multiplication by the reciprocal:

#(2/a)/(1/(a+6)) = (2/a)-:(1/(a+6))#

#color(white)((2/a)/(1/(a+6))) = (2/a)*((a+6)/1)#

#color(white)((2/a)/(1/(a+6))) = (2a+12)/a#

#color(white)((2/a)/(1/(a+6))) = 2+12/a#

Note that both the original expression and the simplified expression are undefined when

By way of contrast, the original expression is undefined when

So the original expression and simplified expression are not equivalent when