Question 982985
{{{highlight(x)(x-1)=x^2-x}}}
Subtracting,
{{{x^2+2x+7-x^2+x=3x+7}}}
.
.
{{{highlight(3)(x-1)=3x-3}}}
Subtracting,
{{{3x+7-3x+3=10}}}
So,
{{{(x^2+2x+7)/(x-1)=(x+3)+10/(x-1)}}}