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If a^1/3+b^1/3+c^1/3 then value of (a+b+c)^3 |
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Answer» a13⟹p3=ap=a13⟹p3=a q=b13⟹q3=bq=b13⟹q3=b r=c13⟹r3=cr=c13⟹r3=c GIVEN: a13+b13+c13=0a13+b13+c13=0 ⟹p+q+r=0⟹p+q+r=0 ⟹p3+q3+r3=3PQR⟹p3+q3+r3=3pqr ⟹a+b+c=3pqr⟹a+b+c=3pqr ⟹(a+b+c)3=(3pqr)3=27p3q3r3=27abc⟹(a+b+c)3=(3pqr)3=27p3q3r3=27abc ANS: 27abc |
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