a + b + c = 0 হলে a3 + b3 + c3 এর মান কত?

A abc

B 3abc

C 6abc

D 9abc

Solution

Correct Answer: Option B

a + b + c = 0
বা, a + b = - c

এখন
a3 + b3 + c
= (a + b)3 - 3ab(a + b) + c3
= (- c)3 - 3ab(-c) + c3
= - c3 + 3abc + c3
= 3abc

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