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13 November, 16:55

Describe how to find linear expressions for the possible dimensions of a rectangular prism with a volume of 8k^3 + 26k^2 + 6k.

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  1. 13 November, 17:22
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    8k ^ 3 + 26k ^ 2 + 6k

    For this case, the first thing you should do is rewrite the expression.

    We have then:

    Step 1:

    Take out common factor.

    8k ^ 3 + 26k ^ 2 + 6k

    2k * (4k ^ 2 + 13k + 3)

    Step 2:

    Factor quadratic expression.

    2k * (4k ^ 2 + 13k + 3)

    2k * (4k + 1) * (k + 3)

    Answer:

    to find linear expressions for the possible dimensions of a rectangular we rewrite the expression:

    2k * (4k + 1) * (k + 3)
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