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Factorise: A4 - (A2 - 3b2)2 - Mathematics

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Question

Factorise: a4 - (a2 - 3b2)2 

Sum

Solution

a4 - (a2 - 3b2)2 

= (a2)2 - (a2 - 3b2)2

= (a2 + a2 - 3b2) (a2 - a2 + 3b2)

= (2a2 - 3b2) (3b)2

= 3b2 (2a2 - 3b2

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Factorisation by Difference of Two Squares
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Chapter 13: Factorisation - Exercise 13 (C) [Page 159]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (C) | Q 7 | Page 159
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