If x + y + z = 0, then what is the value of  +  + ?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 0
  2. 2
  3. 3

Answer (Detailed Solution Below)

Option 4 : 3
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

x + y + z = 0

Concept used:

x3 + y3 + z3 - 3xyz = (x + y + z)(x2 + y2 + z2​-xy-yz-zx)

If x + y + z = 0, then

x3 + y3 + z3 - 3xyz = 0

So, x3 + y3 + z3 = 3xyz

Calculation:

 +  + 

⇒ 

⇒ 

⇒ 3

∴ The required answer is 3.

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