See also: John 10:30
By “the Father” the Jews rightly understood the Eternal Father, God. In the original Greek “one” appears in the neuter gender, and therefore expresses oneness in attributes, power, or purpose, and not a oneness of personality which would have required the masculine form. — James E. Talmage, Jesus the Christ, p. 464
“I and my Father are one,” says Jesus; what, one body? No, it never entered the Savior’s mind that such a rendering of this saying would ever enter into the minds of persons holding the least claim to good sense. They are no more one person than I and one of my sons are one person. If my son receives my teaching, will walk in the path I mark out for him to walk in, if his faith is the same as mine, his purpose is the same, and he does the work of his father as Jesus did the work of his Father, then is my son one with me in the Scriptural sense. –Brigham Young, Journal of Discourses, 10: 192
“I and my Father are one,” said the Savior (John 10:30). This statement does not mean they are one person, but that Jesus and His Father are one in purpose.
To hear and accept Jesus is to hear and accept His Father. Their teachings and objectives are identical. The doctrine of salvation is the same for all of God’s progeny. Jesus prayed in His intercessory prayer to His Father concerning those who complied with His doctrines and ordinances: “And the glory which thou gavest me I have given them; that they may be one, even as we are one” (John 17:22). — Elder Delbert L. Stapley, Ensign, May 1977, p. 21