Factor completely 4x4 − 24x3 + 36x2.

The   "4x² (x − 3)(x − 3)" ;  or, write as:  "4x² (x − 3)² " .

Explanation:


Given:  " 4x⁴ − 24x³ + 36x² " ;   The least common factor is:  4x² ;

since the least common NUMBER as a factor is "4";  and the least common "variable" as a factor is "x² " ;

  4x⁴ − 24x³ + 36x²   = 4x² (x² − 6x + 9) ;

Factor the:  "(x² − 6x + 9)" ;

   (x² − 6x + 9) = (x − 3)(x − 3) ;

Rewrite:  "4x² (x − 3)(x − 3)" ;  or, write as:  "4x² (x − 3)² " .