What is 1/(x+2)+3/(x+6) ?

The solution to 1/(x+2)+3/(x+6) is (4x+12)/((x+2)(x+6))

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simplify 1/(x+2)+3/(x+6)

simplify

\frac{1}{x + 2} + \frac{3}{x + 6}

\frac{4 x + 12}{( x + 2 ) ( x + 6 )}

Solution steps

\frac{1}{x + 2} + \frac{3}{x + 6}

Least Common Multiplier of

x + 2, x + 6 : (x + 2) (x + 6)

Adjust Fractions based on the LCM

= \frac{x + 6}{( x + 2 ) ( x + 6 )} + \frac{3 ( x + 2 )}{( x + 2 ) ( x + 6 )}

Apply the fraction rule:

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

= \frac{x + 6 + 3 ( x + 2 )}{( x + 2 ) ( x + 6 )}

Simplify

x + 6 + 3 (x + 2) : 4 x + 12

= \frac{4 x + 12}{( x + 2 ) ( x + 6 )}

(2)^{2} ln (2) - 1

- \frac{14}{3} + 5

9 \times 1 0^{- 2}

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

\frac{\frac{5}{4}}{3}

What is 1/(x+2)+3/(x+6) ?
The solution to 1/(x+2)+3/(x+6) is (4x+12)/((x+2)(x+6))