Use suitable identities to find the following products:
$(x + 2) (x - 5)$

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Solution

$(x + 2) (x - 5)$
$∵ (x + a) (x + b) = x^{2} + (a + b) x + a b$
$∴ (x + 2) (x - 5)$
$= x^{2} + (2 + (- 5)) x + 2 \times (- 5)$
$= x^{2} - 3 x - 10$

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