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 \({{\left( 2x+\frac{y}{5} \right)}^{7}}\).

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Answer:\(128x^7 + \displaystyle\frac{448}{5}x^6y + \frac{672}{25}x^5y^2 + \frac{112}{25}x^4y^3 + \frac{56}{125}x^3y^4 + \cdots\)

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