You ran into trouble on the second line.
AB + A [NOT (B + C)] + B [NOT (B + C)]
Is that what you started with?
Then notice that things of the form
NOT(X + Y)
turn into (by DeMorgan's law)
(NOT X) AND (NOT Y)
and
X AND (NOT X) AND (anything at all)
disappears.
That will get you a fair way along.