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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
If a + b + c = 0 then (a3 + b3 + c3) is:
  • A
    0
  • B
    abc
  • C
    2abc
  • D
    3abc
✓

Answer

  1. 3abc
    Solution:
    a + b + c = 0
    ⇒ a + b = -c
    ⇒ (a + b)3 = (-c)3
    ⇒ a3 + b3 + 3ab(a + b) = -c3
    ⇒ a3 + b3 + 3ab(-c) = -c3
    ⇒ a3 + b3 + c3 = 3abc

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