What is 1/(7x)+3/(x+1) ?

The solution to 1/(7x)+3/(x+1) is (22x+1)/(7x(x+1))

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simplify 1/(7x)+3/(x+1)

simplify

\frac{1}{7 x} + \frac{3}{x + 1}

\frac{22 x + 1}{7 x ( x + 1 )}

Solution steps

\frac{1}{7 x} + \frac{3}{x + 1}

Least Common Multiplier of

7 x, x + 1 : 7 x (x + 1)

Adjust Fractions based on the LCM

= \frac{x + 1}{7 x ( x + 1 )} + \frac{21 x}{7 x ( x + 1 )}

Apply the fraction rule:

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

= \frac{x + 1 + 21 x}{7 x ( x + 1 )}

Simplify

x + 1 + 21 x : 22 x + 1

= \frac{22 x + 1}{7 x ( x + 1 )}

4 x^{3} + 4 x

\frac{x ^{2} + 6 x + 8}{x ^{2} + 4 x}

(x^{2} + 4) (x + 2)

2 x^{3} + 6 x^{2}

\frac{- 4 + 9 i}{- 10 i}