How do you factor $(x^3)- 100 = 0$ ?

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Answer 1 · 2018-01-19T21:50:12

$(x-root 3 100)(x^2+xroot3 100+ (root 3 100)^2)=0$

We could use the fact that $a^3-b^3=(a-b)(a^2+ab+b^2)$

So we could rewrite $x^3-100=0$ as
$x^3-(root 3 100)^3=0=>(x-root 3 100)(x^2+xroot3 100+ (root 3 100)^2)=0$

To find the values of $x$ , you could solve the following equations:
$x-root 3 100=0$ and $x^2+xroot3 100+ (root 3 100)^2=0$ .

How do you factor (x^3)- 100 = 0 (x^3)- 100 = 0?