The term independent of x in 2 x1-2-3 x-1-320A- 20 C12 29 312B- 20 C11 28 311C- 20 C12 28 312D- 20 C12 29 311

The correct option is C 20 ×1/2/1/2+1/3=12. ∴ Term independent of x is ^20C_122^8( 3)^12=^20C_122^83^12 ...

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Term Independent of X

The term inde...

Question

The term independent of x in ${(2 x^{\frac{1}{2}} - 3 x^{\frac{- 1}{3}})}^{20}$

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Solution

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x

{(2 x^{1 / 2} - 3 x^{- 1 / 3})}^{20}

x

{(2 x^{1 / 2} - \frac{x^{- 1 / 3}}{3})}^{20}

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(\frac{1}{2} x^{\frac{1}{3}} + x^{\frac{- 1}{5}})^{8}

In the expansion of ${(\frac{1}{2} x^{1 / 3} + x^{- 1 / 5})}^{8}$ , the term independent of x is

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{[\frac{1}{2} x^{1 / 3} + x^{- 1 / 5}]}^{8}

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