Binomial Theorem - Binomial Expansion for Positive Integer Powers
Binomial Theorem - Binomial Expansion for Positive Integer Powers
TGM Original Questions
Find in ascending powers of \(x\), the first five terms in the expansion of \({{\left( 4{{x}^{2}}+\frac{y}{4} \right)}^{6}}\).
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Answer:\(\displaystyle\frac{y^6}{4096} + \frac{3}{128}x^2y^5 + \frac{15}{16}x^4y^4 + 20x^6y^3 + 240x^8y^2 + \cdots\)
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