What is 3/(x+2)+4/x ?

The solution to 3/(x+2)+4/x is (7x+8)/(x(x+2))

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simplify 3/(x+2)+4/x

simplify

\frac{3}{x + 2} + \frac{4}{x}

\frac{7 x + 8}{x ( x + 2 )}

Solution steps

\frac{3}{x + 2} + \frac{4}{x}

Least Common Multiplier of

x + 2, x : x (x + 2)

Adjust Fractions based on the LCM

= \frac{3 x}{x ( x + 2 )} + \frac{4 ( x + 2 )}{x ( x + 2 )}

Apply the fraction rule:

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

= \frac{3 x + 4 ( x + 2 )}{x ( x + 2 )}

Simplify

3 x + 4 (x + 2) : 7 x + 8

= \frac{7 x + 8}{x ( x + 2 )}

- 3 100 a b^{6}

25 6^{\frac{1}{8}}

\frac{x}{x - 1}

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

\frac{6}{7} - \frac{3}{7}