AM-1286

General term of a binomial expansion

A Math · Secondary 4 · Hard · General term of a binomial expansion

The general term in the binomial expansion of

(2x - \dfrac{3}{x^2})^8

is given by

T_{k+1} = \binom{8}{k}(2x)^{8-k}\left(-\dfrac{3}{x^2}\right)^k.

What is the coefficient of the term in

x^2

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