Question

Спростити вираз!
Терміново!!!

Answer 1

$1)\frac{2}{1-2y+y^{2} }+\frac{1}{y^{2}-1 }=\frac{2}{(y-1)^{2} }+\frac{1}{(y-1)(y+1)} =\frac{2*(y+1)+1*(y-1)}{(y-1)^{2}(y+1)}=\\\\=\frac{2y+2+y-1}{(y-1)^{2}(y+1) }=\frac{3y+1}{(y-1)^{2}(y+1) }\\\\2)(y-1)^{2}*\frac{3y+1}{(y-1)^{2}(y+1) }=\frac{3y+1}{y+1}\\\\3)\frac{2}{y+1}+\frac{3y+1}{y+1}=\frac{2+3y+1}{y+1}=\frac{3y+3}{y+1}=\frac{3(y+1)}{y+1}=\boxed3$