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27-11-2018
Mathematics

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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)

Respuesta :

sqdancefan sqdancefan

27-11-2018

Answer:

(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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