Q. 185.0( 4 Votes )

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

Answer :

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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