Factorize the Following Expressions: P3 + 27 - Mathematics

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Factorize the following expressions:

p3 + 27

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Solution

p3 + 27

= p3 + 33

= ( p + 3)( p2  - 3p + 32 )        [∵ a3 + b3  = (a + b)(a2 - ab + b2 )]

= ( p + 3)( p2  - 3 p + 9)

∴  p3  + 27 = ( p + 3)( p2  - 3 p + 9)

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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 1 | Page 14

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