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Factorise: 25(A - 5b)2 - 4(A - 3b)2 - Mathematics

Sum

Factorise: 25(a - 5b)2 - 4(a - 3b)2 

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Solution

25(a - 5b)2 - 4(a - 3b)2 

= [5 (a - 5b)]2 - [2(a - 3b)]2

= (5a - 25b)2 - (2a - 6b) 

= (5a - 25b + 2a - 6b)(5a - 25b - 2a + 6b)
 .....[a2 - b2 = (a + b)(a - b)] 

= (7a - 31b)(3a - 19b)

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 8.2 | Page 163
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