Question

factorize = 27a³ + 125b³ help please solve this​

Answer 1

(3a+5b)(9a^2 +25b^2 -15ab)

Answer 2

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27a³ + 125b³

= (3a)³ + (5b)³

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This of the form a³ + b³ = (a + b)(a² - ab + b²)

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(3a)³ + (5b)³

= (3a + 5b) [(3a)² - (3a)(5b) + (5b)²]

= (3a + 5b) (9a² - 15ab + 25b²)

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Hence,

27a³ + 125b³ = (3a + 5b) (9a² - 15ab + 25b²)

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