How do you express (3x)/((x + 2)(x - 1)) in partial fractions?

1 Answer
Aug 10, 2016

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

Explanation:

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

Use Heaviside's cover-up method to find:

A = (3(-2))/((-2)-1) = (-6)/(-3) = 2

B = (3(1))/((1)+2) = 3/3 = 1

So:

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