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In the expansion of \left(x^2-2 x\right)^{10} , the coefficient of  \small x^{16} is
 

Option: 1

–1680


Option: 2

1680
 


Option: 3

3360          


Option: 4

6720


Answers (1)

best_answer

    The coefficient of x^{16} in the expansion of \left(x^2-2 x\right)^{10}
        = The coefficient of in x^{16} \text { in } x^{10}(x-2)^{10}

\begin{aligned} & =\text { The coefficient of } x^6 \text { in }(x-2)^{10} \\ & ={ }^{10} C_4 \cdot 2^4, \quad\left(T_{r+1}={ }^n C_r x^{n-t} a^t\right) \\ & =210 \times 16=3360 . \end{aligned}
 

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Anam Khan

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