Split the following into partial fractions.

1. x

(x+2)(x+3).

2. 11−3x

x2+2x−3

.

3. 2x

2−9x−35

(x+1)(x−2)(x+3).

4. x

3−2x

2−4x−4

x2+x−2

.

5. 2x+3

(x−2)3

.

6. 3+6x+4x

2−2x

3

x2(x2+3) .​