liv2619 liv2619

14-04-2020
Mathematics

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6. Which is a factored form of 27x3 + 64? (1 point)
(3x + 4)(9x2 - 24x + 16)
(3x + 4)(9x2 + 24x + 16)
O(3x + 4)(9x2 - 12x + 16)
(3x + 4)(9x2 + 12x + 16)

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jimrgrant1 jimrgrant1

14-04-2020

Answer:

(3x + 4)(9x² - 12x + 16

Step-by-step explanation:

27x³ + 64 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

27x³ + 64

= (3x)³ + 4³

= (3x + 4)(9x² - 12x + 16)

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