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Answer:

3x^3(4x^3 - 3x + 6)

Step-by-step explanation:

factor 12x^6 - 9x^4 + 18x^3

= 12x^3x^3 - 9xx^3 + 18x^3

= 3*4x^3x^3 - 3*3xx^3 + 3*6x^3

= 3x^3(4x^3 - 3x + 6)

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