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\frac{0\left(\sqrt{4+2x}-\sqrt{4-2x}\right)}{x}
Express 0\times \frac{\sqrt{4+2x}-\sqrt{4-2x}}{x} as a single fraction.
\frac{0\sqrt{4+2x}+0}{x}
Use the distributive property to multiply 0 by \sqrt{4+2x}-\sqrt{4-2x}.
\frac{0+0}{x}
Anything times zero gives zero.
\frac{0}{x}
Add 0 and 0 to get 0.
0
Zero divided by any non-zero term gives zero.
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