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Factor completely: 1331x^3 - 729y^3
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4 votes
Factor completely: 1331x^3 - 729y^3

User Lmsimp
by
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1 Answer

6 votes

Answer:

(11x - 9y) (121x² + 99xy + 81)

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)

User RamAlx
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5.4k points
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