Find the coefficient of $$\(x^{2}\)$$ in the expansion of $$\(\left(x-\frac{2}{x}\right)^{6}\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_s20_qp_12 Year：2020 Question No：1(a)
Answer:
\[
(2+3 x)\left(x-\frac{2}{x}\right)^{6}
\]
Term in \(x^{2}\) in \(\left(x-\frac{2}{x}\right)^{6}=15 x^{4} \times\left(\frac{-2}{x}\right)^{2}\)
Coefficient \(=60\)
(2+3 x)\left(x-\frac{2}{x}\right)^{6}
\]
Term in \(x^{2}\) in \(\left(x-\frac{2}{x}\right)^{6}=15 x^{4} \times\left(\frac{-2}{x}\right)^{2}\)
Coefficient \(=60\)
Knowledge points:
1.6.1 use the expansion of , where is a positive integer (Including the notations and n!) (Knowledge of the greatest term and properties of the coefficients are not required.)
Solution:
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