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01-11-2018
Mathematics

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factor completely: 1331x^3 - 729y^3

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yellowyarn2003 yellowyarn2003

01-11-2018

Answer:

(11x - 9y) (121x² + 99xy + 81)

Step-by-step explanation:

Difference of cubes

∛1331x³ = 11x = a

∛729y³ = 9y = b

(a³ + b³) = (a + b) (a² - ab + b²)

(a³ - b³) = (a - b) (a² + ab + b)

(1331x³ - 729y³) = (11x - 9y) (121x² + 99xy + 81)

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