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

The solution to a/(a+3)+4/(a+5) is (a^2+9a+12)/((a+3)(a+5))

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

simplify

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

\frac{a ^{2} + 9 a + 12}{( a + 3 ) ( a + 5 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

a (a + 5) + 4 (a + 3) : a^{2} + 9 a + 12

= \frac{a ^{2} + 9 a + 12}{( a + 3 ) ( a + 5 )}

5 x^{2} (x - 8) - (x - 8)

(\frac{4}{4})^{9}

x^{2} + 12 x = - 11

e^{2}

lo g_{2} (8) + lo g_{2} (4)

What is a/(a+3)+4/(a+5) ?
The solution to a/(a+3)+4/(a+5) is (a^2+9a+12)/((a+3)(a+5))