What is 1/(x+5)+2/(x-3) ?

The solution to 1/(x+5)+2/(x-3) is (3x+7)/((x+5)(x-3))

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simplify 1/(x+5)+2/(x-3)

simplify

\frac{1}{x + 5} + \frac{2}{x - 3}

\frac{3 x + 7}{( x + 5 ) ( x - 3 )}

Solution steps

\frac{1}{x + 5} + \frac{2}{x - 3}

Least Common Multiplier of

x + 5, x - 3 : (x + 5) (x - 3)

Adjust Fractions based on the LCM

= \frac{x - 3}{( x + 5 ) ( x - 3 )} + \frac{2 ( x + 5 )}{( x + 5 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{x - 3 + 2 ( x + 5 )}{( x + 5 ) ( x - 3 )}

Simplify

x - 3 + 2 (x + 5) : 3 x + 7

= \frac{3 x + 7}{( x + 5 ) ( x - 3 )}

(\frac{1}{2} + \frac{1}{2} i)^{10}

\frac{4 s}{( s ^{2} - 4 ) ^{2}} + \frac{2}{s ^{2} - 4}

8 \frac{1}{4} + 3 \frac{5}{6}

(3 x^{3} - x^{2}) (- 2 x)

12 x^{2} + 14

What is 1/(x+5)+2/(x-3) ?
The solution to 1/(x+5)+2/(x-3) is (3x+7)/((x+5)(x-3))