Question

Factor completely 4x4 − 24x3 + 36x2.

Answer 1

Answer:

4x² (x − 3)²

Step-by-step explanation:

Answer 2

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