What is expand 2/n (1+(2i)/n)^3 ?

The solution to expand 2/n (1+(2i)/n)^3 is (2(n^3+6in^2+8i^3+12ni^2))/(n^4)

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expand 2/n (1+(2i)/n)^3

expand

\frac{2}{n} (1 + \frac{2 i}{n})^{3}

\frac{2 ( n ^{3} + 6 i n ^{2} + 8 i ^{3} + 12 n i ^{2} )}{n ^{4}}

Solution steps

\frac{2}{n} (1 + \frac{2 i}{n})^{3}

Expand

(1 + \frac{2 i}{n})^{3} : \frac{n ^{3} + 6 i n ^{2} + 8 i ^{3} + 12 n i ^{2}}{n ^{3}}

= \frac{2}{n} \cdot \frac{n ^{3} + 6 i n ^{2} + 8 i ^{3} + 12 n i ^{2}}{n ^{3}}

Simplify

\frac{2}{n} \cdot \frac{n ^{3} + 6 i n ^{2} + 8 i ^{3} + 12 n i ^{2}}{n ^{3}} : \frac{2 ( n ^{3} + 6 i n ^{2} + 8 i ^{3} + 12 n i ^{2} )}{n ^{4}}

= \frac{2 ( n ^{3} + 6 i n ^{2} + 8 i ^{3} + 12 n i ^{2} )}{n ^{4}}

(- 6, - 3) y (4, 2)

(6 + 2) 4

\frac{11 s}{2 \cdot ( 125 + s )}

\frac{15 x ^{2} y ^{2}}{21 x y ^{6} z}

(4 a + 2)^{2} - 4 \cdot 3 \cdot (a^{2} + 2 a)

What is expand 2/n (1+(2i)/n)^3 ?
The solution to expand 2/n (1+(2i)/n)^3 is (2(n^3+6in^2+8i^3+12ni^2))/(n^4)