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Question
Select the correct answer from the given alternatives.
In the expansion of (x2 − 2x)10, the coefficient of x16 is
Options
−1680
1680
3360
6720
Solution
3360
Explanation:
(x2 – 2x)10 = x10 (x – 2)10
To get coefficient of x16 in (x2 – 2x)10,
we check coefficient of x6 in (x – 2)10
Required coefficient = 10C6 (– 2)4 = 210 × 16
= 3360
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