What is 1/x+(5x)/(x+8) ?

The solution to 1/x+(5x)/(x+8) is (x+8+5x^2)/(x(x+8))

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simplify 1/x+(5x)/(x+8)

simplify

\frac{1}{x} + \frac{5 x}{x + 8}

\frac{x + 8 + 5 x ^{2}}{x ( x + 8 )}

Solution steps

\frac{1}{x} + \frac{5 x}{x + 8}

Least Common Multiplier of

x, x + 8 : x (x + 8)

Adjust Fractions based on the LCM

= \frac{x + 8}{x ( x + 8 )} + \frac{5 x ^{2}}{x ( x + 8 )}

Apply the fraction rule:

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

= \frac{x + 8 + 5 x ^{2}}{x ( x + 8 )}

6 b^{3} + 18 b - 27 b^{2}

\frac{1}{\frac{x}{2}}

x + \frac{9}{x}

\frac{23 - 11 i}{7 - 9 i}

(x - 1) (3 x^{2} - 5 x - 3)