Rashi (9) and Radak, citing Targum Yonasan: Memory of the Bris of your fathers came in front of Me. I revealed Myself to redeem you, for it is revealed in front of Me that you are afflicted in your servitude.

Radak (according to the Nimshal): "Va'Ivada Lahem b'Eretz Mitzrayim" (I made Myself known in Egypt), via Aharon, Miryam and Moshe, and said "Ish Shikutzei Einav Hashlichu uv'Gilulei Mitzrayim Al Titama'u" (20:5, 7).

Malbim: The supreme Nediv passed and saw her dirty in her blood.

Malbim (according to the Nimshal): Hashem had Hashgachah over them during their Galus. Even though Pharaoh killed their children and struck and wounded them, His Hashgachah caused them to live and not die out.

Rashi #1: It is trampled. This is like "Navus Kameinu" (Tehilim 44:6).

Rashi #2: It is dirty [Radak ? in blood of birth].

Radak (according to the Nimshal): Yisrael were dirty in mud, from which they made bricks, They had no time to clean themselves, for [the Egyptians] forced them to make bricks constantly, without ceasing.

Malbim: She was wounded and bleeding due to being thrown, in addition to blood of birth.

Kerisus 9a: The redemption from Egypt was in the merit of the bloods of circumcision and Korban Pesach.

Rashi: Even amidst this disgrace, you will not die.

Rashi (9, citing Targum Yonasan): I said that in the blood of your Milah I will have mercy on you, and I said that in [the merit of] Dam Pesach I will redeem you.

Radak: Do not fear lest you die amidst this harsh labor. Amidst the filth and harsh labor, you will live and increase "k'Tzemach ha'Sadeh" (7 ? vegetation of the field). Chayi is like Tichyi - a command in place of the normal conjugation. This is like "u'Mus ba'Har" (Devarim 32:50); it is like Tamus. "Sim Kinecha" (Ovadyah 1:4) is like Tasim.

This hints to two bloods (refer to 16:6:4:1, 3).

Radak: It is to strengthen her heart, lest she fear. Verses often repeat the matter to strengthen it.