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8 September, 08:04

Which factorization is incorrect? 1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4) (x + 1) 2 2) 4d3 - 4d2 - 9d + 9 = (d - 1) (2d - 3) 2 3) 27h3 - 8k3 = (3h - 2k) (9h2 + 6hk + 4k2) 4) 64 - 9t2 = (8 + 3t) (8 - 3t)

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  1. 8 September, 09:30
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    The second option is the incorrect:

    2) 4d3 - 4d2 - 9d + 9 = (d - 1) (2d - 3) ^2

    Step-by-step explanation:

    Let's check each one of the factorizations:

    1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4) (x + 1) ^2

    (x + 4) (x + 1) ^2 = (x + 4) (x2 + 2x + 1) = x3 + 6x2 + 9x + 4

    x3 + 5x2 + 4x + x2 + 5x + 4 = x3 + 6x2 + 9x + 4

    This one is correct.

    2) 4d3 - 4d2 - 9d + 9 = (d - 1) (2d - 3) ^2

    (d - 1) (2d - 3) ^2 = (d - 1) (4d2 - 12d + 9) = 4d3 - 16d2 + 21d - 9

    4d3 - 4d2 - 9d + 9 = 4d3 - 16d2 + 21d - 9

    This one is incorrect.

    3) 27h3 - 8k3 = (3h - 2k) (9h2 + 6hk + 4k2)

    (3h - 2k) (9h2 + 6hk + 4k2) = 27h3 - 8k3

    This one is correct.

    4) 64 - 9t2 = (8 + 3t) (8 - 3t)

    (8 + 3t) (8 - 3t) = 64 - 9t2

    This one is correct.

    So the incorrect option is the second one.
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