1.

Resolve into partial fractions: (3x + 5)/((x + 2(x - 1)2)

Answer»

(3x + 5)/((x + 2)(x - 1)2) = A/(x + 2) + B/(x - 1) + C/(x - 1)2

3x + 5 = A(x – 1)2 + (x + 2)(x – 1) + C(x + 2)

A = -1/9, C = 8/3, 0 = A + B, B = 1/9

Substitution of A,B,C



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