Use suitable identities to find the following products:
$(x - 5) (x + 8)$

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Solution

$∵ (x + a) (x + b) = x^{2} + (a + b) x + a b$
$∴ (x + (- 5)) (x + 8)$
$= x^{2} + (- 5 + 8) x + (- 5) \times (8)$
$= x^{3} + 3 x - 40$

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