Multiply and simplify. (x - 3)(x2 + 3x + 9) A) x3 - 27 B) x3 - 27x2 C) x3 - 6x2 + 3x - 27 D) x3 - 9x2 + 6x - 27

asked Sep 11, 2021 50.8k views

4 votes

Multiply and simplify.

(x - 3)(x2 + 3x + 9)

A) x3 - 27
B) x3 - 27x2
C) x3 - 6x2 + 3x - 27
D) x3 - 9x2 + 6x - 27

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Answer:

${x}^(3) - 27$

Explanation:

$(x - 3)( {x}^(2) + 3x + 9) \\ x( {x}^(2) + 3x + 9) - 3( {x}^(2) + 3x + 9) \\ {x}^(3) + 3 {x}^(2) + 9x - 3 {x}^(2) - 9x - 27 \\ {x}^(3) - 27$

Martin Florin answered Sep 18, 2021