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5 November, 07:33

Factor:

4b2 - 12b + 9

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Answers (1)
  1. 5 November, 08:19
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    (2b-3) ²

    Step-by-step explanation:

    The square of a binomial is ...

    (p - q) ² = p² - 2pq + q²

    The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.

    For p² = 4b², p=2b.

    For q² = 9, q = 3.

    Then 2pq = 2 (2b) (3) = 12b.

    So, the factoring is ...

    4b² - 12b + 9 = (2b - 3) ²
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