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

The solution to 2/x+4/(x+4) is (6x+8)/(x(x+4))

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

simplify

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

\frac{6 x + 8}{x ( x + 4 )}

Solution steps

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

Least Common Multiplier of

x, x + 4 : x (x + 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x + 4) + 4 x : 6 x + 8

= \frac{6 x + 8}{x ( x + 4 )}

\frac{tan ( t )}{sec ( t ) - cos ( t )}

2 \frac{3}{4} - (- 1 \frac{1}{2}) + (- \frac{5}{6}) - (- \frac{3}{8}) - (+ 4 \frac{2}{3})

x \cdot x \cdot x \cdot x

sin (x) \cdot cot (x)

1.6 (5 x - 10) - (12 x + 15)