A plus B mins C ka whole cube
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You can just multiply it out, giving:
(a+b-c)(a+b-c)(a+b-c)
= (a^2 + 2ba + b^2 - 2bc+ c^2) (a+b-c)
= (a^3 + 2ba^2 + ab^2 - 2abc + ac^2 + ba^2 + 2b^2a+b^3 - 2b^2c + bc^2 - ca^2 - 2abc - cb^2 + 2bc^2 - c^3)
= a^3 + b^3 - c^3 + 3ba(a + b) + bc(b + 3c) - ca(a + c).
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