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

The solution to 2(x/(x+3)+5/x) is (2(x^2+5x+15))/(x(x+3))

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

simplify

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

\frac{2 ( x ^{2} + 5 x + 15 )}{x ( x + 3 )}

Solution steps

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

Join

\frac{x}{x + 3} + \frac{5}{x} : \frac{x ^{2} + 5 x + 15}{x ( x + 3 )}

= 2 \cdot \frac{x ^{2} + 5 x + 15}{x ( x + 3 )}

Apply the fraction rule:

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

= \frac{2 ( x ^{2} + 5 x + 15 )}{x ( x + 3 )}

\frac{- 11 s + 188}{1780 ( s ^{2} - 8 s + 80 )}

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

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

e^{x} (ln (x) + \frac{1}{x})

(3 x^{2} - \frac{1}{x})^{15}

What is 2(x/(x+3)+5/x) ?
The solution to 2(x/(x+3)+5/x) is (2(x^2+5x+15))/(x(x+3))