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30 November, 03:43

Factor completely, then place the answer in the proper location on the grid. 16x^4 - 64y^8

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  1. 30 November, 04:30
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    16 (x^2 - 2 y^4) (x^2 + 2 y^4)

    Step-by-step explanation:

    Factor the following:

    16 x^4 - 64 y^8

    Factor 16 out of 16 x^4 - 64 y^8:

    16 (x^4 - 4 y^8)

    x^4 - 4 y^8 = (x^2) ^2 - (2 y^4) ^2:

    16 (x^2) ^2 - (2 y^4) ^2

    Factor the difference of two squares. (x^2) ^2 - (2 y^4) ^2 = (x^2 - 2 y^4) (x^2 + 2 y^4):

    Answer: 16 (x^2 - 2 y^4) (x^2 + 2 y^4)
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