What is 4/(a+1)+5/(a-3) ?

The solution to 4/(a+1)+5/(a-3) is (9a-7)/((a+1)(a-3))

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simplify 4/(a+1)+5/(a-3)

simplify

\frac{4}{a + 1} + \frac{5}{a - 3}

\frac{9 a - 7}{( a + 1 ) ( a - 3 )}

Solution steps

\frac{4}{a + 1} + \frac{5}{a - 3}

Least Common Multiplier of

a + 1, a - 3 : (a + 1) (a - 3)

Adjust Fractions based on the LCM

= \frac{4 ( a - 3 )}{( a + 1 ) ( a - 3 )} + \frac{5 ( a + 1 )}{( a + 1 ) ( a - 3 )}

Apply the fraction rule:

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

= \frac{4 ( a - 3 ) + 5 ( a + 1 )}{( a + 1 ) ( a - 3 )}

Simplify

4 (a - 3) + 5 (a + 1) : 9 a - 7

= \frac{9 a - 7}{( a + 1 ) ( a - 3 )}

1 + (x + y)^{3}

x^{6} \cdot x^{- 5} \cdot x^{- 7}

4 (3 b)

(3 x^{6}) (- 5 x^{8} x^{4})

(- 3 - 5 i) (7 - 9 i)

What is 4/(a+1)+5/(a-3) ?
The solution to 4/(a+1)+5/(a-3) is (9a-7)/((a+1)(a-3))