Question

Find the difference.

m + 2 / (m - 4)^2 - m - 2 / (m - 4)^2

a. 4 / (m - 4)^2
b. 0
c. 2 / (m - 4)^2
d. 2m / (m - 4)^2

please help me.

Answer 1

The denominators are both (m - 4)^2, so we just subtract the numerators

\[\Large \frac{m+2}{(m - 4)^2} + \frac{m-2}{(m - 4)^2}\]

\[\Large \frac{(m+2)-(m-2)}{(m - 4)^2}\]

\[\Large \frac{m+2-m+2}{(m - 4)^2}\]

\[\Large \frac{0m+4}{(m - 4)^2}\]

\[\Large \frac{4}{(m - 4)^2}\]

so hopefully that's not so bad. Unfortunately, this only works if the denominators were the same. You have to do a bit of more work to get them equal (if they weren't the same).

Answer 2

thank you , i'll read on this topic a bit more. <3

Answer 3

good idea, make sure to take a lot of notes as well