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{d ^{2}}{d x ^{2}} ((y) (3 x - 1)^{3})

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

(1 - x + 2)^{2}

\frac{2 ^{i} ( 2 ^{k - i} - 1 ) ^{2}}{2 ^{k} - 1}

12 (\frac{2}{3} x + 7)

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