упростите выражение y/y-1 +4y/2y^2-2 - y+2/y+1

Відповідь:

2/y-1

Пояснення:

y/y-1 +4y/2y^2-2 - y+2/y+1

y/y-1+4y/2(y^2-1)-y+2/y+1

y/y-1+2y/y^2-1-y+2/y-1

y/y-1+2y/(y-1)(y+1)-y+2/y-1

y(y+1)+2y-(y-1)(y+2)|/(y-1)(y+1)

y^2+y+2y-(y^2+2y-y-2)/(y-1)(y+1)

y^2+y+2y-(y^2+y-2)/(y-1)(y+1)

y^2+y+2y-y^2-y+2/(y-1)(y+1)

y+2y-y+2/(y-1)(y+1)

2y+2/(y-1)(y+1)

2(y+1)/(y-1)(y+1)

2/y-1