Factorize A3 X3 - 3a2bx2 + 3ab2 X - B3

Factorize a³ x³ - 3a2bx² + 3ab² x - b³

= (ax)³ - 3(ax)² × b + 3(ax)b² - b³

= (ax - b)³ [∵ a² - 3a²b + 3ab² - b³ = (a - b)³ ]

= (ax - b)(ax - b)(ax - b)

∴ a³ x³ - 3a²bx² + 3ab² x - b³ = (ax - b)(ax - b)(ax - b)

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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 11 | Page 17

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