(1/a-1/b)÷a²-b²/ab
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(1/a-1/b)÷a²-b²/ab(1/a-1/b)÷a²-b²/ab(1/a-1/b)÷a²-b²/ab(1/a-1/b)÷(a
(1/a-1/b)÷a²-b²/ab
(1/a-1/b)÷a²-b²/ab
(1/a-1/b)÷a²-b²/ab
(1/a-1/b) ÷ (a²-b²)/ab
= (b-a)/ab÷(a+b)(a-b)/ab
= -(a-b)/ab×ab/(a+b)(a-b)
= -1/(a+b)