Question

resolve into partial fraction x²/(x+1)².(x+2)​

Answer 1

Answer:

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Answer 2

Answer:

x2/(x+1)2.(x+2) = A/x+2 + B/(x+1) + C/(x+1)2  --------------- 1

multiply both sides by (x+1)2 . (x+2), we get

x2 = A(x+1)2 + B(x+1)(x+2) + C(x+2)              ----------------- 2

now, let we put x+2 = 0, we get x = -2

put in 2

(-2)^2 = A(-2+1)^2 + 0 + 0

4 = A

similarly, put x+1 = 0, we get x = -1

put in 2

(-1)^2 = 0 + 0 + C(-1+2)

1 = C

now, compare the co-efficients of x2, we get

x2 = Ax2 + Bx2

1 = A + B

1 = 4 + B

B = 3

put values of A,B, and C in 1, we get

x2/(x+1)2.(x+2) = 4/x+2 + 3/(x+1) + 1/(x+1)2 ans.

Step-by-step explanation: