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

The solution to 1/(x+6)+2/(x+3) is (3x+15)/((x+6)(x+3))

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

simplify

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

\frac{3 x + 15}{( x + 6 ) ( x + 3 )}

Solution steps

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

Least Common Multiplier of

x + 6, x + 3 : (x + 6) (x + 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x + 3 + 2 (x + 6) : 3 x + 15

= \frac{3 x + 15}{( x + 6 ) ( x + 3 )}

\frac{( - 3 ) ^{6}}{9 ^{6}}

p - 10 p + 4 p

(2 y - x)^{2}

3 (x + h)

- 8 (- 2)

What is 1/(x+6)+2/(x+3) ?
The solution to 1/(x+6)+2/(x+3) is (3x+15)/((x+6)(x+3))