(6x + 4)/x(x + 2) decomposes as?
- 2/x + 4/(x + 2)
- 3/x + 1/(x + 2)
- 4/x + 2/(x + 2)
- None of these
Explanation
Let (6x + 4)/x(x + 2) = A/x + B/(x + 2)
Multiply both sides by x(x + 2):
6x + 4 = A(x + 2) + Bx
Find A: put x = 0
6(0) + 4 = A(0 + 2) + B(0) → 4 = 2A → A = 2
Find B: put x = -2
6(-2) + 4 = A(-2 + 2) + B(-2) → -12 + 4 = -2B → -8 = -2B → B = 4
So (6x + 4)/x(x + 2) = 2/x + 4/(x + 2)
Last verified on 09-05-2026
Related MCQs
- -72
- -60
- -48
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- {1}
- {-1}
- {0}
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 18 pilgrims, giving P 26, R 36 and S 22
- 14 pilgrims, giving P 22, R 28 and S 18
- 16 pilgrims, giving P 24, R 32 and S 20
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
