Expanding the given expression, we get:

(a-b+c)(a+b-c)(-a+b+c)
= (a^2 - b^2 + c^2 - 2ab + 2ac - 2bc)(-a + b + c)
= -a^3 + a^2b + a^2c +ab^2 - b^3 - b^2c + ac^2 - bc^2 + c^3

Therefore, the expanded form of the given expression is -a^3 + a^2b + a^2c +ab^2 - b^3 - b^2c + ac^2 - bc^2 + c^3.