What is (6x+5/x)(2sqrt(x)+3) ?

The solution to (6x+5/x)(2sqrt(x)+3) is ((6x^2+5)(2sqrt(x)+3))/x

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simplify (6x+5/x)(2sqrt(x)+3)

simplify

(6 x + \frac{5}{x}) (2 x + 3)

\frac{( 6 x ^{2} + 5 ) ( 2 x + 3 )}{x}

Solution steps

(6 x + \frac{5}{x}) (2 x + 3)

Join

6 x + \frac{5}{x} : \frac{6 x ^{2} + 5}{x}

= \frac{6 x ^{2} + 5}{x} (2 x + 3)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 6 x ^{2} + 5 ) ( 2 x + 3 )}{x}

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

\frac{π}{3} (- 2 cos (x) + 2)

(e^{2 x} + x e^{2 x})^{2}

\frac{3 s + 4}{3 ( s + 2 ) ( s + 1 )}

\frac{9 s ^{2} + 384}{2 s ( s ^{2} + 64 )}

What is (6x+5/x)(2sqrt(x)+3) ?
The solution to (6x+5/x)(2sqrt(x)+3) is ((6x^2+5)(2sqrt(x)+3))/x