Into Capernaum - See the notes at Matthew 4:13.
After some days - The number of days is not known. Jesus probably remained long enough in the desert to heal the sick who were brought to him, and to give instructions to the multitudes who attended his preaching. Capernaum was not "the city" mentioned in Mark 1:45, and it is probable that there was no difficulty in his remaining there and preaching.
And it was noised - He entered the city, doubtless, privately; but his being there was soon known, and so great had his popularity become that multitudes pressed to hear him.

In the house - The house of Peter, with whom Christ lodged when at Capernaum. See the notes on Matthew 4:13; Matthew 8:13.

And (1) again he entered into Capernaum after [some] days; and it was noised that he was in the (a) house.
(1) By healing this man who was sick from paralysis Christ shows that men recover all their lost strength in him through faith alone.
(a) In the house where he used to remain: for he chose Capernaum to dwell in and left Nazareth.

And again he entered into Capernaum after some days,.... After he had been preaching in the synagogues throughout Galilee, and after he had spent some days in prayer, and private retirement in desert places: and it was noised that he was in, the house; a report was spread throughout the city that he was in the house of Simon and Andrew, where he was before, and where he used to be when in Capernaum.

It was this man's misery that he needed to be so carried, and shows the suffering state of human life; it was kind of those who so carried him, and teaches the compassion that should be in men, toward their fellow-creatures in distress. True faith and strong faith may work in various ways; but it shall be accepted and approved by Jesus Christ. Sin is the cause of all our pains and sicknesses. The way to remove the effect, is to take away the cause. Pardon of sin strikes at the root of all diseases. Christ proved his power to forgive sin, by showing his power to cure the man sick of the palsy. And his curing diseases was a figure of his pardoning sin, for sin is the disease of the soul; when it is pardoned, it is healed. When we see what Christ does in healing souls, we must own that we never saw the like. Most men think themselves whole; they feel no need of a physician, therefore despise or neglect Christ and his gospel. But the convinced, humbled sinner, who despairs of all help, excepting from the Saviour, will show his faith by applying to him without delay.

HEALING OF A PARALYTIC. ( = Matthew 9:1-8; Luke 5:17-26). (Mark 2:1-12)
And again he entered into Capernaum--"His own city" (Matthew 9:1).
and it was noised that he was in the house--no doubt of Simon Peter (Mark 1:29).

Again he entered Capernaum. After his first missionary circuit of Galilee.

And again - After having been in desert places for some time, he returned privately to the city. In the house - In Peter's house.