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The middle term of the expansion $[\frac{1}{x}-\frac{x^{2}}{2}]^{12}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The term independent of x in the expansion $[x-\frac{2}{x}]^{10}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The terms involving $x^{-2}$ in the expansion (x-\frac{2}{x^{2}})^{13}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The term involving $x^{-2}$ in the expansion $(x-\frac{2}{x^{2}})^{13}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The 6th term in the expansion $[x^{2}-\frac{2}{x^{2}}]^{10}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The coefficient of $x^{5}$ in the expansion $[x^{3}-\frac{3}{2x}]^{10}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The term involving $x^{4}$ in the expansion $(3-2x)^{7}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The 8th term of $(1+2x)^\frac{-1}{2}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The 7th term of $(3^{8}+6^{4}x)^\frac{11}{4}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The 5th term of $(3a-2b)^{-1}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The coefficient of the third term of $(8a-b)^{\frac{1}{3}}$, after simplification is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The fourth term of $(x-2y)^{12}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The middle term of $(x-y)^{8}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The coefficient of the second term of $(a+b)^{4}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The coefficient of $x^{10}$ in the expansion $(x^{3}+\frac{3}{x^{2}})^{10}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The coefficient of $x^{5}$ in the expansion $(x^{2}-\frac{2}{x^{3}})^{15}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The term independent of x in the expansion $(x^{2}+\frac{1}{x})^{12}$

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The middle terms in the expansion $(3x-\frac{x^{3}}{6})^{9}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The fifth term in the expansion (x^{3}-\frac{1}{2x})^{6}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The seventh term of $(x^{3}-\frac{1}{x})^{3}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The coefficient of the middle term of $[\frac{x}{2}-\frac{2}{x^{2}}]^{6}$ after simplification is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The middle term of $[1/x-x]^{10}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The difference of an integer and its cube is divisible by

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

For all $n\:\epsilon\:N, 2^{4n}-1$ is divisible by

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

For $n\:\epsilon\:N, (n!)^{2}<n^{n}$ when

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem