Question

Find the quotient and simplify​

Answer 1

`\large\boxed{(y-1)/(7)}`

Explanation:

`(y^2-2y+1)/(7)/(y-1)=(y^2-y-y+1)/(7)/(y-1)\\\\=(y(y-1)-1(y-1))/(7)\cdot(1)/(y-1)=((y-1)(y-1))/(7)\cdot(1)/(y-1)\\\\\text{cancel}\ (y-1)\\\\=(y-1)/(7)\cdot(1)/(1)=(y-1)/(7)`