Question

Calcule:
(3a+1)/(2a-2) - (a+1)/(a-1)

Answer 1

$\frac{3a+1}{2a-2}-\frac{a+1}{a-1}=\frac{3a+1}{2(a-1)}-\frac{a+1}{a-1}=\\ \\ \frac{2(3a+1)-2(a+1)}{2(a-1)}=\frac{6a+2-2a-2}{2(a-1)}=\frac{4a}{2(a-1)}=\frac{2a}{a-1}$