Factorize 64a3 +125b3 + 240a2b + 300ab2

Factorize 64a³ +125b³ + 240a²b + 300ab²

64a³ +125b³ + 240a²b + 300ab²

= (4a)³ + (5b)³ + 3 x (4a)² x 5b + 3(4a)(5b)²

= (4a + 5b)³[∵ a³ + b³ + 3a²b + 3ab² = (a + b)³]

= (4a + 5b)(4a + 5b)(4a + 5b)

∴ 64a³ +125b³ + 240a²b + 300ab² = (4a + 5b)(4a + 5b)(4a + 5b)

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.3 [Page 17]

Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.3 | Q 1 | Page 17

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