Factorize the Following Expressions: A12 + B12 - Mathematics

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Factorize the following expressions: 

a12 + b12

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Solution

= (a4)3  + (b4)3

= (a4)3 + (b4 )3

= (a4  + b4 )((a4)2  - a4 x b4  + (b4 )2)      [∵  a3  + b3  = (a + b)(a2  - ab + b2 )]

= (a4  + b4 )(a8  - a4b4  + b8 )

∴ a12  + b12   = (a4  + b4)(a8  - a4b4  + b8)

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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 20 | Page 14

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