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Factorise: (A - 3b)2 - 36 B2 - Mathematics

Sum

Factorise: (a - 3b)2 - 36 b2  

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Solution

(a - 3b)2 - 36 b2  

= (a - 3b)2 - (6b)2

= (a - 3b + 6b) (a - 3b - 6b)

= (a + 3b)(a - 9b)  ....[a2 - b2 = (a + b)(a - b)] 

Concept: Factorisation by Difference of Two Squares
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (F) | Q 8.1 | Page 163
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