What is 3/(x+4)+6/(x+5) ?

The solution to 3/(x+4)+6/(x+5) is (9x+39)/((x+4)(x+5))

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simplify 3/(x+4)+6/(x+5)

simplify

\frac{3}{x + 4} + \frac{6}{x + 5}

\frac{9 x + 39}{( x + 4 ) ( x + 5 )}

Solution steps

\frac{3}{x + 4} + \frac{6}{x + 5}

Least Common Multiplier of

x + 4, x + 5 : (x + 4) (x + 5)

Adjust Fractions based on the LCM

= \frac{3 ( x + 5 )}{( x + 4 ) ( x + 5 )} + \frac{6 ( x + 4 )}{( x + 4 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{3 ( x + 5 ) + 6 ( x + 4 )}{( x + 4 ) ( x + 5 )}

Simplify

3 (x + 5) + 6 (x + 4) : 9 x + 39

= \frac{9 x + 39}{( x + 4 ) ( x + 5 )}

\frac{14}{72}

95 \cdot 510

(7 + 3 i) - (6 - 4 i)

1^{2} + i^{2}

15 (2 \frac{1}{3})

What is 3/(x+4)+6/(x+5) ?
The solution to 3/(x+4)+6/(x+5) is (9x+39)/((x+4)(x+5))