try some grouping:
c^2(a-b) - a^2(a+b) + b^2(a+1)
That pesky 1 at the end makes me think there's a typo. All the terms are degree 3 except that lone b^2. I suspect there may also be a sign mixed up somewhere as well.
Are you sure that's the way it is?
ac^2-a^3-a^2b+ab^2+b^2-bc^2
I don't understand how to factor it.
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