(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
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