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Question: The 4th term from end of the expansion of \(\left( 2x - \frac{1}{x^{2}} \right)^{10}\)is...

The 4th term from end of the expansion of (2x1x2)10\left( 2x - \frac{1}{x^{2}} \right)^{10}is

A

–960 x–11

B

960 x–12

C

– 960 x–12

D

None

Answer

–960 x–11

Explanation

Solution

Required term = T10–4 + 2 = T8

T8 = 10C7 (2x)3 (1x2)7\left( - \frac{1}{x^{2}} \right)^{7}

= – 960 x–11