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    Question

    If the sum of three numbers is zero, then which of the

    options below will always be equal to the value of the sum of the cubes of those numbers?
    A zero Correct Answer Incorrect Answer
    B one Correct Answer Incorrect Answer
    C three times the product of the three numbers Correct Answer Incorrect Answer
    D product of the three numbers Correct Answer Incorrect Answer

    Solution

    ATQ- a+b+c = 0 a3+b3+c3 =? Use of this formula- a3+b3+c3-3abc =(a+b+c) (a2+b2+c2-ab-bc-ca) a3+b3+c3-3abc= 0(a2+b2+c2-ab-bc-ca) a3+b3+c3-3abc=0 a3+b3+c3 =3abc

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