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Rashi on Genesis 21:11/רש"י על בראשית כ״א:י״א

אעל אודות בנו. שֶׁשָּׁמַע שֶׁיָּצָא לְתַרְבּוּת רָעָה (בראשית רבה), וּפְשׁוּטוֹ עַל שֶׁאָמְרָה לוֹ לְשַׁלְּחוֹ:
1על אדות בנו ON ACCOUNT OF HIS SON — because he heard that he had taken to degenerate ways (Exodus Rabbah 1:1). The real meaning, however, is because she (Sarah) had told him to send him away.