What is (5+(2i)/n)^2 ?

The solution to (5+(2i)/n)^2 is (25n^2-4}{n^2}+\frac{20)/n i

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simplify (5+(2i)/n)^2

simplify

(5 + \frac{2 i}{n})^{2}

\frac{25 n ^{2} - 4}{n ^{2}} + \frac{20}{n} i

Solution steps

(5 + \frac{2 i}{n})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(5 + \frac{2 i}{n})^{2} = 5^{2} + 2 \cdot 5 \cdot \frac{2 i}{n} + (\frac{2 i}{n})^{2}

= 5^{2} + 2 \cdot 5 \cdot \frac{2 i}{n} + (\frac{2 i}{n})^{2}

Simplify

5^{2} + 2 \cdot 5 \cdot \frac{2 i}{n} + (\frac{2 i}{n})^{2} : \frac{25 n ^{2} - 4}{n ^{2}} + \frac{20}{n} i

= \frac{25 n ^{2} - 4}{n ^{2}} + \frac{20}{n} i

\frac{1}{8} + \frac{1}{32} (x - 1) - \frac{21}{256} (x - 1)^{2}

\frac{( s ^{2} + 6 )}{( s ( s - 1 ) ( s + 2 ) ( s - 3 ) )}

\frac{4 x ^{2} - 15 x - 1}{( x - 1 ) ( x + 2 ) ( x - 3 )}

π (x + 1)^{2}

\frac{- 3 x ^{2} + 10}{x ^{2} ( x ^{4} - 25 )}

What is (5+(2i)/n)^2 ?
The solution to (5+(2i)/n)^2 is (25n^2-4}{n^2}+\frac{20)/n i