Simplify: $(x + 3) (x^{2} - 5 x + 7)$

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Solution

$(x + 3) (x^{2} - 5 x + 7)$ $= x (x^{2} - 5 x + 7) + 3 (x^{2} - 5 x + 7)$
$= x^{3} - 5 x^{2} + 7 x + 3 x^{2} - 15 x + 21$
$= x^{3} - 2 x^{2} - 8 x + 21$
Hence, the answer is $x^{3} - 2 x^{2} - 8 x + 21.$

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