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Factorise : 4a2 - (4b2 + 4bc + C2) - Mathematics

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Question

Factorise : 4a2 - (4b2 + 4bc + c2)

Sum

Solution

4a2 - (4b2 + 4bc + c2)
 = ( 2a )2 - ( 2b + c )2
= [ 2a - ( 2b + c )][ 2a + (2b + c )]      [ ∵ a2 - b2 = ( a + b )( a - b )]
= [ 2a - 2b - c ][ 2a + 2b + c ]

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

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 5 Factorisation
Exercise 5 (C) | Q 13 | Page 72
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