Express

$2x3+5x2+3x+4(x+1)2\displaystyle \frac{2x^3 + 5x^2 + 3x + 4}{(x + 1)^2}$

in the form

$Ax+B+Cx+1+D(x+1)2\displaystyle Ax + B + \frac{C}{x + 1} + \frac{D}{(x + 1)^2}$

where $A$ , $B$ , $C\,$ and $D\,$ are integers.

Express

$2x3+5x2+3x+4(x+1)2\displaystyle \frac{2x^3 + 5x^2 + 3x + 4}{(x + 1)^2}$

in the form

$Ax+B+Cx+1+D(x+1)2\displaystyle Ax + B + \frac{C}{x + 1} + \frac{D}{(x + 1)^2}$

where $A$ , $B$ , $C\,$ and $D\,$ are integers.

1 Pure Mathematics

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