How do you factor $x^4 + 27x$ ?

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Answer 1 · 2016-07-24T19:42:16

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

$x^4+27x$
$=x(x^3+27)$
$=x(x^3+3^3)$
As per formula $a^3+b^3=(a+b)(a^2-ab+b^2)$
we can write
$=x(x+3)(x^2-3x+3^2)$
$=x(x+3)(x^2-3x+9)$

How do you factor x^4 + 27xx^4 + 27x?