Question

A few of my answers aren't matching up with my answer key. I was wondering if I'm just making careless errors or if the answer key may be wrong.

Answer 1

Ya it appears they were intending to give you this problem:\[\large\rm \frac{3}{(x-2)(x+1)}+\frac{5}{x^2-1}\]Which leads to the answer they provided.

Your work looks correct though! :)

Answer 2

Thanks ^^

Answer 3

Oh actually that would give you 8x-13 in the denominator..
Hmm I'm not sure where they made the typo heh

Answer 4

in the numerator*