How do you factor $27 - x^3$ ?

Question

14101 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-29T09:35:05

$27-x^3=3^3-x^3=(3-x)(9+3x+x^2)$

$27-x^3$ is an example of the difference of cubes, where $a^3-b^3=(a-b)(a^2+ab+b^2)$ .

Rewrite $27-x^3$ as $3^3-x^3$ , where $a=3$ and $b=x$ .

$(3-x)(3^2+(3·x)+x^2)$

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

How do you factor 27 - x^327 - x^3?