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Question

If $a comma blank b$ and $c$ are in A.P. then $a to the power of 3 end exponent plus c to the power of 3 end exponent minus 8 b to the power of 3 end exponent$ is equal to

$2 a b c$
$6 a b c$
$4 a b c$
None of these

The correct answer is: None of these

$2 b equals a plus c$
$rightwards double arrow 8 b to the power of 3 end exponent equals open parentheses a plus c close parentheses to the power of 3 end exponent equals a to the power of 3 end exponent plus c to the power of 3 end exponent plus 3 a c open parentheses a plus c close parentheses$
$rightwards double arrow 8 b to the power of 3 end exponent equals a to the power of 3 end exponent plus c to the power of 3 end exponent plus 3 a c left parenthesis 2 b right parenthesis$
$rightwards double arrow a to the power of 3 end exponent plus c to the power of 3 end exponent minus 8 b to the power of 3 end exponent equals negative 6 a b c$

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