Find the product of
$(x + 2) (x + 5) (x + 7)$

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Solution

$(x + 2) (x + 5) (x + 7)$

$= x^{3} + (2 + 5 + 7) x^{2} + [(2) (5) + (5) + (7) + (7) (2)] x + (2) (5) (7)$

$= x^{3} + 14 x^{2} + (10 + 35 + 14) x + 70$

$= x^{3} + 14 x^{2} + 59 x + 70$

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