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Factorise : A3 + 2a2 - A-2 - Mathematics

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Question

Factorise : a3 + 2a2 - a - 2

Sum

Solution

a3 + 2a2 - a - 2
= a2( a + 2 ) - 1( a + 2 )
= ( a2 - 1 )( a + 2 )
= ( a + 1 )( a - 1 )( a + 2 )   [ ∵ a2 - b2 = ( a + b )( a - b )] 

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Method of Factorisation : Difference of Two Squares
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Chapter 5: Factorisation - Exercise 5 (C) [Page 72]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 5 Factorisation
Exercise 5 (C) | Q 10 | Page 72
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