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

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