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If $$a \neq b, a^2 + b^2 \neq 0$$, then $$\frac{(a - b)\left(\sqrt{a} - \sqrt{b}\right)}{(a + b)\left(\sqrt{a} + \sqrt{b}\right)} =$$
$$1 - \frac{2\sqrt{ab}}{a + b}$$
$$1 + \frac{2\sqrt{ab}}{a + b}$$
$$1 + 2\sqrt{\frac{1}{a} + \frac{1}{b}}$$
$$1 - 2\sqrt{\frac{1}{a} + \frac{1}{b}}$$
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