Select the polynomial that can be factored as (4x-5)(16x^2+20x+25)

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Select the polynomial that can be factored as (4x-5)(16x^2+20x+25)

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    2021-09-11T07:06:29+00:00

    f(x) = 64x³ – 125

    Multiply each term in the second factor by each term in the first factor

    = 4x(16x² + 20x + 25) – 5(16x² + 20 x + 25)

    =64x³ + 80x² + 100x – 80x² – 100x – 125

    = 64x³ – 125 ← difference of cubes

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