Question

Evaluate : (a2 + b2 + c2 – ab – ac – ca)(a + b+ c)

Answer 1

Answer:

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Answer 2

Answer:

(a²+b²+c²-ab-bc-ca)(a+b+c)

Step-by-step explanation:

= a(a²+b²+c²-ab-bc-ca)+b(a²+b²+c²-ab-bc-ca)+c(a²+b²+c²-ab-bc-ca)

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

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

= a³+b³+c³-2ac²-2b²c-2abc

Answer. a³+b³+c³-2ac²-2b²c-2abc