What is 3/(x+1)+4/x ?

The solution to 3/(x+1)+4/x is (7x+4)/(x(x+1))

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simplify 3/(x+1)+4/x

simplify

\frac{3}{x + 1} + \frac{4}{x}

\frac{7 x + 4}{x ( x + 1 )}

Solution steps

\frac{3}{x + 1} + \frac{4}{x}

Least Common Multiplier of

x + 1, x : x (x + 1)

Adjust Fractions based on the LCM

= \frac{3 x}{x ( x + 1 )} + \frac{4 ( x + 1 )}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{3 x + 4 ( x + 1 )}{x ( x + 1 )}

Simplify

3 x + 4 (x + 1) : 7 x + 4

= \frac{7 x + 4}{x ( x + 1 )}

\frac{sec ( x )}{cos ( x )} - \frac{tan ( x )}{cot ( x )}

\frac{- 7 + 19 i}{4 - 5 i}

46 \cdot 6

- (x - 1)

(5 x^{2} - 5 x + 6) + (2 x^{2} - 7 x + 4) + (- 6 x^{2} + 10 x - 10)