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22 August, 20:41

How can the sum of cubes, x^3 - 27, be written in factored form?

(x+3) (x^2+3x+9)

(x+3) (x^2-3x+9)

(x-3) (x^2+3x+9)

(x-3) (x^2-3x+9)

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  1. 22 August, 20:42
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    (x - 3) (x² + 3x + 9)

    Step-by-step explanation:

    The sum of cubes is factored as ...

    ... a³ + b³ = (a + b) (a² - ab + b²)

    For a=x, b=-3, this is ...

    ... x³ - 27 = (x - 3) (x² + 3x + 9)
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