Question 903819
{{{x^5 -x^3 + 27x^2 -27}}}


{{{(x^5 -x^3) + (27x^2 -27)}}} Group


{{{x^3(x^2 -1) + 27(x^2 -1)}}} Factor each group


{{{(x^3+27)(x^2 -1)}}} Factor out {{{x^2-1}}}


{{{(x+3)(x^2-3x+9)(x^2 -1)}}} Factor {{{x^3+27}}} (use sum of cubes rule)


{{{(x+3)(x^2-3x+9)(x-1)(x+1)}}} Factor {{{x^2-1}}} (use difference of squares rule)