Factorize the Following Expressions 1- 27a3 - Mathematics

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Factorize the following expressions

1- 27a3

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Solution

= (1)3 - (3a)3

= (1- 3a)(12 +1´ 3a + (3a)2 )   [∵  a3 - b3  = (a - b)(a2 + ab + b2 )]

= (1- 3a)(1+ 3a + 9a2)

∴ 1- 27a3   = (1- 3a)(1+ 3a + 9a2)

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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 3 | Page 14

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