If $a - b = - 8$ and $a b = - 12$ , then $a^{3} - b^{3} =$

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Solution

Given: $a - b = - 8$ and $a b = - 12$
Using identity,
$(a - b)^{3} = a^{3} - b^{3} - 3 a b (a - b)$
$(- 8)^{3} = a^{3} - b^{3} - 3 \times - 12 \times (- 8)$
$- 512 = a^{3} - b^{3} - 288$
$a^{3} - b^{3} = - 512 + 288$
$a^{3} - b^{3} = - 224$

Hence, $(c)$ is the correct option.

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Similar questions

If a - b = -8 and ab = -12 then $a^{3} - b^{3} =$

If a + b = 6 and ab = 8; find $a^{3} + b^{3}$

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