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21 February, 12:19

What is the completely factored form of x3 - 64x?

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  1. 21 February, 13:42
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    X³ - 64x

    by factoring out the x

    x³ - 64x = x (x² - 64)

    by factorizing the bracket

    x³ - 64x = x (x² - 8x + 8x - 64)

    = x (x - 8) + 8 (x - 8)

    = x (x + 8) (x - 8)

    ∴ x³ - 64x = x (x + 8) (x - 8)
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