Factorize the Following Expressions: X4y4 - Xy - Mathematics

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Factorize the following expressions:

x4y4 - xy

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Solution

= xy (x3 y3  -1)

= xy (( xy )3 -13 )

= xy ( xy -1)(( xy)2 + ( xy )1+12 )        [∵ a3 - b3  = (a - b)(a2 + ab + b2 ) ]

= xy (xy -1)(x2 y2 + xy +1)

∴  x4 y4 - xy = xy ( xy -1)(x2 y2 + xy +1)

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

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.2 | Q 14 | Page 14

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