Factor completely: 2x^3-12x^2+18x

Arielorvits asked Dec 18, 2022

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Arielorvits asked Dec 18, 2022

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14 votes

Answer:

2x(x - 3)²

Explanation:

We can simplify this a lot by first factoring 2x out of each term:

2x³ - 12x² + 18x

= 2x(x² - 6 + 9)

We can then factor the trinomial fairly easily, as it's a perfect square:

= 2x(x - 3)²

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