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Find the value of (25)3 + (-29)3 + (4)3

This question was previously asked in
CUET General Test 6th Oct 2022 Official Paper
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  1. -8700
  2. 0
  3. 8700
  4. 2900

Answer (Detailed Solution Below)

Option 1 : -8700
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Detailed Solution

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Formula used:

a3 + b3 + c3 = 3abc if a + b + c = 0

Calculation:

(25)3 + (-29)3 + (4)3

Here, a = 25

b = -29

c = 4

a + b + c = 25 - 29 + 4 = 0

a3 + b3 + c3 = 3abc = 3 × 25 × (-29) × 4 = -8700

∴ The value of (25)3 + (-29)3 + (4)3 is -8700.

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