Mathematics

If a = 5, b = -2 and c = -3, a3 + b3 + c3 is equal to :

  1. -90

  2. 90

  3. 60

  4. -60

Expansions

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Answer

By property,

If a + b + c = 0, then

a3 + b3 + c3 = 3abc

Since, 5 + (-2) + (-3) = 5 - 2 - 3 = 0.

∴ a3 + b3 + c3 = 3 × 5 × -2 × -3 = 90.

Hence, Option 2 is the correct option.

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