What is (1+(2i)/x)^2 ?

The solution to (1+(2i)/x)^2 is (x^2-4)/(x^2)+4/x i

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simplify (1+(2i)/x)^2

simplify

(1 + \frac{2 i}{x})^{2}

\frac{x ^{2} - 4}{x ^{2}} + \frac{4}{x} i

Solution steps

(1 + \frac{2 i}{x})^{2}

Apply Perfect Square Formula:

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

(1 + \frac{2 i}{x})^{2} = 1^{2} + 2 \cdot 1 \cdot \frac{2 i}{x} + (\frac{2 i}{x})^{2}

= 1^{2} + 2 \cdot 1 \cdot \frac{2 i}{x} + (\frac{2 i}{x})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot \frac{2 i}{x} + (\frac{2 i}{x})^{2} : \frac{x ^{2} - 4}{x ^{2}} + \frac{4}{x} i

= \frac{x ^{2} - 4}{x ^{2}} + \frac{4}{x} i

\frac{t ( t + 1 ) ( t - 1 )}{4 ( t + 3 )}

(x - (\frac{3 + 2}{2})) (x - (\frac{3 - 2}{2}))

(4 + 7) (6 + 5)

e^{- \frac{1}{( x + h ) ^{2}}} - e^{- \frac{1}{x ^{2}}}

(- 2, - 6, - 7) l e f t (- 86, - 116, 34)