Question

http://prntscr.com/b5eepn Correct?

Answer 1

It's incorrect., unfortunately!

Would you agree the subtraction of the two fractions =

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

Answer 2

Try simplifying from there and see what answer you get.

Answer 3

I'm not sure why you think it's incorrect @Jadedry

Answer 4

\[\Large \frac{n}{n-2} - \frac{2}{2-n}\]
\[\Large \frac{n}{n-2} - \frac{2}{-n+2}\]
\[\Large \frac{n}{n-2} - \frac{2}{-1(n-2)}\]
\[\Large \frac{n}{n-2} + \frac{2}{n-2}\]
\[\Large \frac{n+2}{n-2}\]
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So
\[\Large \frac{n}{n-2} - \frac{2}{2-n}\]
simplifies to
\[\Large \frac{n+2}{n-2}\]

Answer 5

oh my bad, I misread what @Ms-Brains chose

Answer 6

That is correct, but she picked the third option!

Answer 7

Thank you for the comprehensive steps however! I'm sure she'll find it more useful than mine haha.

Answer 8

Thank you both very much. cx