Question

Упростите выражение которое посередине

Answer 1

$\frac{p}{p^{2}-9 }-\frac{p+3}{p^{2}-3p }=\frac{p}{(p-3)(p+3)}-\frac{p+3}{p(p-3)}=\frac{p^{2}-(p+3)^{2}}{p(p-3)(p+3)}=\frac{p^{2}-p^{2}-6p-9}{p(p-3)(p+3)}=\frac{-3(2p+3)}{p(p^{2}-9) }=\frac{3(2p+3)}{p(9-p^{2}) }$