# How do you divide #\frac { ( m + 3) ( m - 7) } { m + 5} \div \frac { ( m + 3) ( m - 7) } { m + 5}#?

##### 1 Answer

Jan 25, 2018

#### Explanation:

Both of these expressions are the exact same.

Therefore, if you divide them, you usually get

The only exception is when one of the factors in the expression equals zero, because dividing zero by zero is undefined.

This means that

#m# cannot be#-3# ,#7# , or#-5# , since any of these values would make one of the factors equal to zero.

So our answer is:

#1, " " m notin {-5, -3, 7}#