How do you factor $125x^3+1/125$ ?

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Answer 1 · 2018-04-14T07:07:40

$125x^3+1/125=(5x+1/5)(25x^2-x+1/25)$ .

Recall that, $a^3+b^3=(a+b)(a^2-ab+b^2)$ .

With $a=5x, and, b=1/5$ , we get,

$125x^3+1/125=(5x+1/5)(25x^2-x+1/25)$ .

How do you factor 125x^3+1/125125x^3+1/125?