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24 July, 10:22

It takes four steps to factor 48 - 3y 4 completely. Using complete sentences and the appropriate vocabulary, explain each of the four steps.

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  1. 24 July, 10:48
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    3 (2 - y) (2 + y) (4 + y²)

    Step-by-step explanation:

    48 - 3y⁴

    Take 3 common:

    3 (16 - y⁴)

    16 is 4² and y⁴ is (y²) ²

    3 (4² - (y²) ²)

    Using a² - b² = (a - b) (a + b)

    3 (4 - y²) (4 + y²)

    Again, 4 = 2²

    3 (2² - y²) (4 + y²)

    3 (2 - y) (2 + y) (4 + y²)
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