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The moon does not rotate around itself, with respect to Earth.

Suppose you tie a foot ball to a string, revolve it in a circle and you also rotate around yourself, then you see only one side of the foot ball. This is so because the football is not having a rotatory motion around itself.

Earth and moon are locked gravitationally. So we always see only the same part of the moon. THis is the brighter part of moon. We do not see the darker side of moon.

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The moon moves around the earth in about 27 days. It takes exactly the same time to complete one spin. As a result, only one side of the moon is visible to us on the earth. 
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