Factorize X3 - 2x2 Y + 3xy2 - 6y3 - Mathematics

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Factorize x3 - 2x2 y + 3xy2 - 6y3

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Solution

Taking x2 common in (x3  - 2x2 y ) and  +3y2 common in (3xy2  - 6y3)

= x2 ( x - 2 y ) + 3y2 ( x - 2 y )

= ( x - 2 y)(x2  + 3y2 )

∴ x3  - 2x2 y + 3xy2  - 6y3  = ( x - 2y )(x2  + 3y2 )

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 6 | Page 9

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