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

1 Answer
Jan 25, 2018

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

Explanation:

Both of these expressions are the exact same.

Therefore, if you divide them, you usually get #1#.

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}#