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The value of $$\frac{{4{x^3} - x}}{{\left( {2x + 1} \right)\left( {6x - 3} \right)}}$$ when x = 9999 is?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& x = 9999{\text{ }}\left( {{\text{ Given}}} \right) \cr
& \frac{{4{x^3} - x}}{{\left( {2x + 1} \right)\left( {6x - 3} \right)}} \cr
& = \frac{{x\left( {4{x^2} - 1} \right)}}{{3\left( {2x + 1} \right)\left( {2x - 1} \right)}} \cr
& = \frac{{x\left( {4{x^2} - 1} \right)}}{{3\left( {4{x^2} - 1} \right)}} \cr
& = \frac{x}{3} \cr
& \therefore \frac{{9999}}{3} = 3333 \cr} $$
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