Express the partial fraction decomposition of each rational function without computing the exact coefficients. For example

(a) (3-4x2)/(2x+1)3
(b) (7x-41)/(x-1)2 (2-x)3
(c) (3x+1)/(x2 + x +10)2
(d) (x+1)2/(x2-x+10)2 (1-x2)2
(e) x5/(x+3)4(x2+2x+10)2
(f) (3x2 + 2x-1)2 / (2x2 + x + 10)3

3x + 1 (x -1) (x-1) (x 1)2