Factorize the Following Expressions: X6 + Y6 - Mathematics

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Factorize the following expressions:

x6 + y6

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Solution

x6 + y6

= (x2)3 + ( y2)3

= (x2  + y2 )((x2)2  - x2 y2  + (y2)2)        [∵ a3 + b3  = (a + b)(a2 - ab + b2)]

= (x2  + y2 )(x4  - x2 y2  + y4)

∴ x6  + y6  = (x2  + y2 )(x4  - x2 y2  + y4 )

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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 19 | Page 14

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