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

User Hitesh Hadia
by
8.2k points

1 Answer

6 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

User ChW
by
8.5k points
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