simplify the quotient: [x(5x+1)-3(x^2+1)]/ [(x-1)^2]

[x(5x+1)-3(x^2+1)]/ [(x-1)^2]

= (5x^2 + x - 3x^2 - 3)/(x - 1)^2
= (2x^2 + x - 3)/(x-1)^2
= (2x-3)(x+1)/(x-1)^2

mmmh, looks like Much Ado About Nothing.