What is (3/x-sqrt(x))^2 ?

The solution to (3/x-sqrt(x))^2 is (x^3+9-6sqrt(x)x)/(x^2)

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simplify (3/x-sqrt(x))^2

simplify

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

\frac{x ^{3} + 9 - 6 x x}{x ^{2}}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(\frac{3}{x})^{2} - 2 \cdot \frac{3}{x} x + (x)^{2} : \frac{x ^{3} + 9 - 6 x x}{x ^{2}}

= \frac{x ^{3} + 9 - 6 x x}{x ^{2}}

4 (1 - i)^{7}

\frac{x ^{2} + 3 x + 15}{( x + 3 ) ^{2} ( x ^{2} + 7 )}

\frac{1}{25} (e^{5 t} \cdot 5 t - e^{- 5 t})

(\frac{( n ( n + 1 ) )}{2})^{2}

cos (\frac{1}{n ^{2}}) - cos (\frac{1}{( n + 1 ) ^{2}})

What is (3/x-sqrt(x))^2 ?
The solution to (3/x-sqrt(x))^2 is (x^3+9-6sqrt(x)x)/(x^2)