(9x + 4) / (x(x + 4)) decomposes as?
- 2/x + 7/(x + 4)
- 1/x + 8/(x + 4)
- 8/x + 1/(x + 4)
- None of these
Explanation
(9x + 4) / [x(x + 4)] = A/x + B/(x + 4)
Multiply both sides by x(x + 4):
9x + 4 = A(x + 4) + B x
9x + 4 = A x + 4A + B x
9x + 4 = (A + B)x + 4A
Compare both sides:
4A = 4 => A = 1
A + B = 9 => 1 + B = 9 => B = 8
Therefore:
(9x + 4) / [x(x + 4)] = 1/x + 8/(x + 4)
Last verified on 23-05-2026
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