Prove the (1+w²)³=-1 – InterviewSolution

1.

Prove the (1+w²)³=-1

Answer»

Step-by-step EXPLANATION:

We have,

$\rm(1 + \omega^{2} )^{3}$

We KNOW, $1+\omega+{\omega}^{2}=0$

so, $1+{\omega}^{2}=-\omega$

Now,

$\rm = (1 + \omega^{2} )^{3}$

$\rm = ( - \omega )^{3}$

$\rm = - (\omega )^{3}$

$\rm = - 1$

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