State True or False.
The product of $(x + 3) (x^{2} - 3 x + 9) =$ $x^{3} + 27$

True

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False

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Solution

The correct option is A True
$(x + 3) (x^{2} - 3 x + 9) = x (x^{2} - 3 x + 9) + 3 (x^{2} - 3 x + 9)$
$= (x^{3} - 3 x^{2} + 9 x) + (3 x^{2} - 9 x + 27)$
$= x^{3} + 27$

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