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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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1 + 1 = 2
2 + 2 = 4
4 + 3 = 7
7 + 4 = 11
11 + 5 = 16
The answer is 16.