Find the partial fraction decomposition of x2(x+1)3\frac{x^2}{(x+1)^3}(x+1)3x2
1x+1−2(x+1)2+1(x+1)3\frac{1}{x+1} - \frac{2}{(x+1)^2} + \frac{1}{(x+1)^3}x+11−(x+1)22+(x+1)31
1x+1+2(x+1)2+1(x+1)3\frac{1}{x+1} + \frac{2}{(x+1)^2} + \frac{1}{(x+1)^3}x+11+(x+1)22+(x+1)31
1x+1−1(x+1)2+1(x+1)3\frac{1}{x+1} - \frac{1}{(x+1)^2} + \frac{1}{(x+1)^3}x+11−(x+1)21+(x+1)31
1x+1+1(x+1)2−1(x+1)3\frac{1}{x+1} + \frac{1}{(x+1)^2} - \frac{1}{(x+1)^3}x+11+(x+1)21−(x+1)31