What is 4/(a+3)+5/(a-5) ?

The solution to 4/(a+3)+5/(a-5) is (9a-5)/((a+3)(a-5))

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simplify 4/(a+3)+5/(a-5)

simplify

\frac{4}{a + 3} + \frac{5}{a - 5}

\frac{9 a - 5}{( a + 3 ) ( a - 5 )}

Solution steps

\frac{4}{a + 3} + \frac{5}{a - 5}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{4 ( a - 5 )}{( a + 3 ) ( a - 5 )} + \frac{5 ( a + 3 )}{( a + 3 ) ( a - 5 )}

Apply the fraction rule:

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

= \frac{4 ( a - 5 ) + 5 ( a + 3 )}{( a + 3 ) ( a - 5 )}

Simplify

4 (a - 5) + 5 (a + 3) : 9 a - 5

= \frac{9 a - 5}{( a + 3 ) ( a - 5 )}

\frac{3}{2} x - 10 = 50

x^{2} - x - 72

12 y^{2} - y - 6

5 + 2 x = 11

0 = 3 x^{2} - 6 x + 3

What is 4/(a+3)+5/(a-5) ?
The solution to 4/(a+3)+5/(a-5) is (9a-5)/((a+3)(a-5))