Binomial Expansion Involving Fractions

Binomial Expansion Involving Fractions

IP 4

Find, in ascending powers of \(x\), the first four terms in the expansion of \({{\left( 2x+\frac{y}{4} \right)}^{6}}\).

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Answer:\(\frac{1}{4096}y^6+\frac{3}{256}xy^5+\frac{15}{64}x^2y^4+\frac{5}{2}x^3y^3\)

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