Factorize the Following Expressions 8x3 Y3 + 27a3 - Mathematics

Factorize the following expressions

8x³ y³ + 27a³

= (2xy)³ + (3a)³

= (2xy + 3a)((2xy)² - 2xy x 3a + (3a)²) [∵ a³ + b³ = (a + b)(a² - ab + b²)]

= (2xy + 3a)(4x²y² - 6xya + 9a²)

∴ 8x³ y³ + 27a³ = (2xy + 3a)(4x²y² - 6xya + 9a²)

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.2 [Page 14]

Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.2 | Q 4 | Page 14

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