Class 11MathematicsBinomial TheoremGeneral term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient
EasyThe term independent of $x$ in the expansion of ${\left( {2x + \frac{1}{{3x}}} \right)^6}$ is
- A$\frac{160}{9}$
- B$\frac{80}{9}$
- C$\frac{160}{27}$
- D$\frac{80}{3}$
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The sum of the coefficients of $x^{2/3}$ and $x^{-2/5}$ in the binomial expansion of $(x^{2/3} + \frac{1}{2}x^{-2/5})^9$ is:
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The number of irrational terms in the binomial expansion of $(3^{1/5} + 7^{1/3})^{100}$ is
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The term independent of $x$ in ${\left( {\sqrt x - \frac{2}{x}} \right)^{18}}$ is
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