A) - 272
B) - 540
C) - 870
D) -918
Correct Answer: D
Solution :
[d] \[\frac{(3-2x)}{{{(1+3x)}^{3}}}=(3-2x){{(1+3x)}^{-3}}\] \[=(3-2x)[1-9x+\frac{(-3)(-4)}{2!}\,\,.\,9{{x}^{2}}\] \[+\frac{(-3)(-4)(-5)}{3!}.27{{x}^{3}}+....]\] [Expanding \[{{(1+3x)}^{-3}}\]] \[=(3-2x)(1-9x+54{{x}^{2}}-270{{x}^{3}}+.....)\] \[\therefore \] Coefficient of \[{{x}^{3}}=-270\times 3-2\times 54=-918\]You need to login to perform this action.
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