Factorize the Following Expressions: X3y3 + 1 - Mathematics

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Factorize the following expressions:

x3y3 + 1

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Solution

= ( xy)3 +13

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

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

∴ x3 y3 +1 = ( 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 13 | Page 14

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