Side bands are produced by modulation. The signal produced after modulation consist of frequencies slightly higher and slightly lower than frequency of carrier wave ( fc+fm and fc+fm) called sidebands.
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Neeraj Mishra answered this
Sidebands ptoduced are the result of superposition of carrier wave and modulating wave, operated in square law device and bandpass filter..
Akash answered this
They are produced due to superposition of carrier waves pf frequency over mpdulating/audio signal of frequency