Question

divide and simplify 10 over x-5 minus 10 over 5-x

Answer 1

10/(x-5)-10/(5-x)
=10/(x-5)-(-10/(x-5)) (factoring out a negative one from the bottom and applying it to the top. This is the same as saying (-2)/3=2/(-3)
=10/(x-5)+10/(x-5)
=20/(x-5)