SSC
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Numerical Ability
Algebra
If xa, xb, xc = 1, then the value of a3 + b3 + c3 is
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- =>x^a . x^b . x^c=1
=>x^(a+b+c)=1
=>x^(a+b+c)=x^0
=>a+b+c=0
=>a+b=-c
=>(a+b)^3=(-c)^3
=>a^3+b^3+3ab(a+b)=(-c)^3
but a+b=-c, So
=>a^3=b^3+3ab(-c)=-c^3
=>a^3+b^3+c^3=3abc - 8 years agoHelpfull: Yes(0) No(0)
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