The coefficient of `x^3` in the expansion of `(3-2x)/((1+3x)^3)` isA. `-272`B. `-540`C. `-870`D. `-918`

The coefficient of `x^3` in the expansion of `(3-2x)/((1+3x)^3)` isA.

1.	The coefficient of `x^3` in the expansion of `(3-2x)/((1+3x)^3)` isA. `-272`B. `-540`C. `-870`D. `-918`
Answer» Correct Answer - D `((3-2x))/((1+3x)^(3))=(3-2x)(1+3x)^(-3)` `=(3-2x)(1-9x+((-3)(-4))/(2!).9x^(2)+((-3)(-4)(-5))/(3!).27 x^(3)+....)` `["Expanding"(1+3x)^(-3)]` `=(3-2x)(1-9x+54x^(2)-270x^(3)+…..)` `therefore" Coefficient of "x^(3)=-270xx3-2xx54` `=-810-108=-918`

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