Step-by-step explanation:
((a+b)/b − a/(a+b)) ÷ ((a+b)/a − b/(a+b))
To find the domain, remember that any denominators can't be 0.
b ≠ 0
a + b ≠ 0
a ≠ 0
(5/(a+1) − 3/(a−1) + 6/(a²−1)) × (a+1)/2
Distribute the a+1.
(5 − 3(a+1)/(a−1) + 6/(a−1)) / 2
Factor out 1/(a−1).
(5(a−1) − 3(a+1) + 6) / (2(a−1))
Simplify.
(5a − 5 − 3a − 3 + 6) / (2a−2)
(2a−2) / (2a−2)
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