Question

Упростите выражение 8х+4/4х-4 - 3х+3/х^2-1

Answer 1

4(2x+1)/4(x-1) -3(x+1)/(x-1)(x+1)=(2x+1)/(x-1)-3/(x-1)=
=(2x+1-3)/(x-1)=(2x-2)/(x-1)=2(x-1)/(x-1)=2

Answer 2

$\frac{8x+4}{4x-4}-\frac{3x+3}{x^2-1}=\frac{4(2x+1)}{4(x-1)}-\frac{3(x+1)}{(x-1)(x+1)}=\frac{2x+1}{x-1}-\frac{3}{x-1}=\frac{2x-2}{x-1}=\frac{2(x-1)}{x-1}=2$