The multiplication and simplification of the given expression gives x³ - 27
To multiply and simplify the expression, we will first clear the bracket and then simplify.
The given expression is
(x - 3)(x2 + 3x + 9)
[tex](x - 3)(x^{2} + 3x + 9)[/tex]
This can be written as
[tex]x (x^{2} + 3x + 9) -3(x^{2} + 3x + 9)[/tex]
Then, we get
[tex]x^{3} +3x^{2} +9x-3x^{2} -9x-27[/tex]
Simplify by first collecting like terms
[tex]x^{3} +3x^{2} -3x^{2}+9x -9x-27[/tex]
Then, this gives
[tex]x^{3} -27[/tex]
Hence, the multiplication and simplification of the given expression gives x³ - 27
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