Let

$\frac{3x^{2}5x2}{(x^{2}1)(x-1{)}^2}$

be decomposed into partial fractions. Which of the following is the correct general form of the decomposition $($before solving for coefficients$)?$

$\frac{A}{x-1}\frac{B}{(x-1{)}^2}\frac{CxD}{x^{2}1}$

$\frac{A}{x-1}\frac{B}{(x-1{)}^2}\frac{C}{x^{2}1}$

$\frac{A}{x-1}\frac{B}{(x-1{)}^2}\frac{C}{x1}$

$\frac{A}{x-1}\frac{B}{(x-1{)}^2}\frac{C}{x^{2}1}\frac{D}{x}$

$\frac{A}{x-1}\frac{B}{(x-1{)}^2}\frac{C}{x1}\frac{DxE}{x^{2}1}$

$\frac{A}{x-1}\frac{B}{x^{2}1}\frac{C}{(x^{2}1{)}^2}$