Binomial Theorem - Binomial Expansion for Positive Integer Powers

Binomial Theorem - Binomial Expansion for Positive Integer Powers

TGM Original Questions

Find in descending powers of \(x\), the first five terms in the expansion of \({{\left( 4-\frac{x}{6} \right)}^{8}}\).

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Answer:\(\displaystyle\frac{1}{1679616}x^8 - \frac{1}{8748}x^7 + \frac{7}{729}x^6 - \frac{112}{243}x^5 + \frac{1120}{81}x^4 + \cdots\)

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