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PiecewiseExpand

PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function. 

PiecewiseExpand[expr,assum] expands piecewise functions using assumptions.

PiecewiseExpand[expr,assum,dom] does the expansion over the domain dom.

Please visit the official Wolfram Language Reference for more details and examples on core symbols.