פּירוש אויף בראשית 18:12

וַתִּצְחַ֥ק שָׂרָ֖ה בְּקִרְבָּ֣הּ לֵאמֹ֑ר אַחֲרֵ֤י בְלֹתִי֙ הָֽיְתָה־לִּ֣י עֶדְנָ֔ה וַֽאדֹנִ֖י זָקֵֽן׃

און שׂרה האָט געלאַכט אין זיך אַזױ צו זאָגן: נאָכדעם װי איך בין אַלט געװאָרן, זאָל איך נאָך האָבן תּענוג? דערצו איז מײַן האַר אַלט.

Rashi

בקרבה [SARAH LAUGHED] WITHIN HERSELF (or, REGARDING HER INSIDE) — She reflected on her physical condition, saying, “Is it possible that this womb shall bear a child, that these dried-up breasts shall give forth milk” (Midrash Tanchuma, Shoftim 18).
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Chizkuni

ותצחק שרה, “Sarah laughed;” when the month of Tishrey began, six months after the prediction of the angels, and she had not experienced signs of pregnancy, she abandoned all hope of that prophecy becoming true, as there were only six months left for it to become true. Contrary to her husband Avraham, she had lost faith in the prediction. The reason that Avraham maintained faith in the prediction was that he had heard it from G-d directly, (the angel had spoken to him in the name of the Lord), whereas Sarah, had only been an eavesdropper, and possibly she had not heard correctly. She had assumed that the angels speaking to Avraham had been ordinary human beings. She took a look at her belly and asked mockingly whether such a belly could possibly produce a fetus. As soon as she had done so, in Tishrey, G-d asked Avraham why Sarah had reacted in such a manner, adding that at the time appointed, i.e. when a year had passed at the time of Passover, in the following year, the angel would return and she would have become a mother. In practice this means that the first time she heard the prediction she had heard it from the mouth of an angel whom she had believed to be a mortal human being. The second time Avraham heard it from G-d directly, i.e. 'ויאמר ה, “the Lord said;” this was followed by G-d adding: “Is anything impossible for the Lord to do?”Support for this interpretation can be found seeing that when the angels on the same evening met Lot, Lot offered them unleavened bread, matzot for supper, a hint that the date was the date that would later on become the night of the Seder of the Jewish people.[This is not far fetched at all, as the night when Avraham had fought and secured Lot’s freedom, had been the corresponding date, and Lot therefore had good reason to observe it as an anniversary of great significance for him also. Compare the numerous commentaries on Genesis 14,15, ויחלק עליהם לילה, “He divided the night for them.” Ed.] In the Talmud Rosh Hashanah, 11 both Rabbi Eliezer and Rabbi Yoshua are quoted as in agreement that three previously barren women, i.e. Sarah, Rachel and Chanah, all became pregnant on Rosh Hashanah.
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Rashbam

עדנה, a form of the skin becoming elastic and the wrinkles straightening out.
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Rashi

עדנה means glistening flesh (skin), and so it is used in the Mishna (Menachot 86a): it makes the hair fall out and the skin smooth (מעדן).
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