Q 1123378241.     For `|x|` < `1/5` , the coefficient of `x^3` in the expansion of `f(x) = 1/((1-5x)(1-4x))` is :

EAMCET 2010
A

`369`

B

`370`

C

`371`

D

` 372`

HINT

`f(x) = 1/(1-9x+20x^2) => (1-9x+20x^2)^-1` Use `(1+x)^n=text()^nC_0+text()^nC_1*x+text()^nC_2*x^2+........text()^nC_nx^n`

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