Find the product (a – b – c) (a2 + b2 + c2 + ab + ac – bc)

Given, (a – b – c) (a2 + b2 + c2 + ab + ac – bc)

= a3 + ab2 + ac2 + a2b + a2c – abc – a2b – b3 – bc2 – ab2 – abc + b2c – a2c – b2c – c3 – abc – ac2 – bc2

Cancelling the terms with opposite signs,

= a3 – b3 – c3 – 3 abc

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