Question

Resolve x^2+2/(x+1)(x-2) into partial fractions​

plz answer it fast I need it plz

Answer 1

Let. 1/x.(x-1) = A/x+B/(x-1). , Multiplying both sides by x.(x-1).

or. 1 = A.(x-1)+B.x

or. 1= x.(A+B) - A.

Comparing both sides.

A+B=0………………(1). and. -A=1. Or. A= -1……………….(2)

From eqn. (1). , -1+B=0. or. B=1.

Partial fraction of 1/x.(x-1) are = 1/(x-1) - 1/x. Answer.