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(x±a)(x±b) = x²±(a+b)x+ab.

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Question

Evaluate using identities $16^{3} - 6^{3} - 10^{3}$

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Solution

$a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$
$= (16 - b) (256 + 96 + 36)$
$= 3880 - 10^{3}$
$= 2880$

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(x±a)(x±b) = x²±(a+b)x+ab.

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