If $a^{2} + a + 1 = 0$ then find the value of $a^{3} - 1$ .

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Solution

Given $a^{2} + a + 1 = 0$ ......(1).
Now,
$a^{3} - 1$
$= (a - 1) (a^{2} + a + 1)$
$= (a - 1) .0$ [ Using (1)]
$= 0$

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If a2+a+1=0 then find the value of a3−1.

Given a2+a+1=0......(1).Now,a3−1=(a−1)(a2+a+1)=(a−1).0 [ Using (1)]=0

If $a^{2} + a + 1 = 0$ then find the value of $a^{3} - 1$ .

Given $a^{2} + a + 1 = 0$ ......(1).
Now,
$a^{3} - 1$
$= (a - 1) (a^{2} + a + 1)$
$= (a - 1) .0$ [ Using (1)]
$= 0$