(4x + 6)/(x(x + 3)) decomposes as?
- 2/x + 2/(x + 3)
- 1/x + 3/(x + 3)
- 2/x + 1/(x + 3)
- None of these
Explanation
Use partial fractions: (4x + 6)/(x(x + 3)) = A/x + B/(x + 3)
4x + 6 = A(x + 3) + Bx = (A + B)x + 3A
Equate:
3A = 6 → A = 2
A + B = 4 → 2 + B = 4 → B = 2
So (4x + 6)/(x(x + 3)) = 2/x + 2/(x + 3)
Last verified on 07-05-2026
Related MCQs
- 2x + 2
- 2x - 8
- 2x - 5
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 2x² + 4 = 9x
- 2x² + 9 = 4x
- 2x² + 9 = 4x
- x² + 4 = 9x
اس سوال کو وضاحت کے ساتھ پڑھیں
