What is (2sqrt(x)+5/x)^2 ?

The solution to (2sqrt(x)+5/x)^2 is (4x^3+20sqrt(x)x+25)/(x^2)

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simplify (2sqrt(x)+5/x)^2

simplify

(2 x + \frac{5}{x})^{2}

\frac{4 x ^{3} + 20 x x + 25}{x ^{2}}

Solution steps

(2 x + \frac{5}{x})^{2}

Apply Perfect Square Formula:

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

(2 x + \frac{5}{x})^{2} = (2 x)^{2} + 2 \cdot 2 x \frac{5}{x} + (\frac{5}{x})^{2}

= (2 x)^{2} + 2 \cdot 2 x \frac{5}{x} + (\frac{5}{x})^{2}

Simplify

(2 x)^{2} + 2 \cdot 2 x \frac{5}{x} + (\frac{5}{x})^{2} : \frac{4 x ^{3} + 20 x x + 25}{x ^{2}}

= \frac{4 x ^{3} + 20 x x + 25}{x ^{2}}

- \frac{x}{( x ^{2} + 9 ) ^{2}}

6 x^{3} δ (x - 2) (y)

(e^{- x} + 1)^{3}

(- \frac{1}{3} x + 2)^{3}

(x - 1 - i)^{2}

What is (2sqrt(x)+5/x)^2 ?
The solution to (2sqrt(x)+5/x)^2 is (4x^3+20sqrt(x)x+25)/(x^2)