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Expand \((\dfrac{x}{3}+\dfrac{2}{y})^{4}\)

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Expand \((\dfrac{x}{3}+\dfrac{2}{y})^{4}\)
in Mathematics by ♦ Platinum (122,736 points) | 22 views

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\(\left(\frac{x}{3}+\frac{2}{y}\right)^{4}=4 c_{0}\left(\frac{x}{3}\right)^{4}+4 c_{1}\left(\frac{x}{3}\right)^{3}\left(\frac{2}{y}\right)+4 c_{2}\left(\frac{x}{3}\right)^{2}\left(\frac{2}{y}\right)^{2}+4 c_{3}\left(\frac{x}{3}\right)\left(\frac{2}{y}\right)^{3}+4 c_{4}\left(\frac{2}{y}\right)^{4}\)

 

\(\Rightarrow \dfrac{x^{4}}{81}+\dfrac{8 x^{3}}{27 y}+\dfrac{8 x^{2}}{3 y^{2}}+\dfrac{32 x}{3 y^{3}}+\dfrac{16}{y^{4}}\)
by ♦ Platinum (122,736 points)

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