Factorize 125x3 - 27 Y3 - 225x2 Y +135xy2 - Mathematics

Factorize 125x³ - 27 y³ - 225x² y +135xy²

125x³ - 27 y³ - 225x² y +135xy²

= (5x)³ - (3y )³ - 3 × (5x)² ´ 3y + 3 × (5x)(3y )2

= (5x - 3y )³ [∵ a³ - b3 - 3a²b + 3ab² = (a - b)³]

= (5x - 3y )(5x - 3y )(5x - 3y )

∴ 125x³ - 27 y³ - 225x² y +135xy² = (5x - 3y)(5x - 3y )(5x - 3y )

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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 2 | Page 17

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