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

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

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expand (2/(sqrt(x))+3x)^2

expand

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

\frac{4 + 12 x x + 9 x ^{3}}{x}

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 x + 9 x ^{3}}{x}

= \frac{4 + 12 x x + 9 x ^{3}}{x}

\frac{3}{4} (16 x y + 32 x^{2} - 12 y^{2})

f (x) sin (22 (x - 13)) - 21

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

4 (x + 1) (x - (\frac{7}{4})) (x + 4)

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

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