What is expand (2/x+3x)^2 ?

The solution to expand (2/x+3x)^2 is (4+12x^2+9x^4)/(x^2)

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expand (2/x+3x)^2

expand

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

\frac{4 + 12 x ^{2} + 9 x ^{4}}{x ^{2}}

Solution steps

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

Apply Perfect Square Formula:

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

(\frac{2}{x} + 3 x)^{2} = (\frac{2}{x})^{2} + 2 \cdot \frac{2}{x} \cdot 3 x + (3 x)^{2}

= (\frac{2}{x})^{2} + 2 \cdot \frac{2}{x} \cdot 3 x + (3 x)^{2}

Simplify

(\frac{2}{x})^{2} + 2 \cdot \frac{2}{x} \cdot 3 x + (3 x)^{2} : \frac{4 + 12 x ^{2} + 9 x ^{4}}{x ^{2}}

= \frac{4 + 12 x ^{2} + 9 x ^{4}}{x ^{2}}

2 (\frac{8 π ^{3}}{3} + 2 π)

(x^{2} - 1) y^{''} (x) + 4 x y^{'} (x) + 2 y

(- 33 - 3 i)^{5}

\frac{1}{s ^{2} ( s ^{2} + 9 )}

2 (x - 2 - x^{2})

What is expand (2/x+3x)^2 ?
The solution to expand (2/x+3x)^2 is (4+12x^2+9x^4)/(x^2)