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